Table of contents 目次

7×10122-5479

c103

name 名前KTakahashi
date 日付January 8, 2015 14:08:01 UTC 2015 年 1 月 8 日 (木) 23 時 8 分 1 秒 (日本時間)
composite number 合成数
1033445318508295249099465325328055929583165423496868258545536267923109850934529044255204761626210522717<103>
prime factors 素因数
282436726332039778435788261403723193<36>
3659033058233902354307334877772484040215745040943422808744906876869<67>
factorization results 素因数分解の結果
Input number is 1033445318508295249099465325328055929583165423496868258545536267923109850934529044255204761626210522717 (103 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3832110053
Step 1 took 2667ms
Step 2 took 1779ms
********** Factor found in step 2: 282436726332039778435788261403723193
Found probable prime factor of 36 digits: 282436726332039778435788261403723193
Probable prime cofactor 3659033058233902354307334877772484040215745040943422808744906876869 has 67 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10123-5479

c122

name 名前KTakahashi
date 日付January 8, 2015 14:13:47 UTC 2015 年 1 月 8 日 (木) 23 時 13 分 47 秒 (日本時間)
composite number 合成数
86419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086413<122>
prime factors 素因数
49558042356249867524917211647<29>
1743808854780583937962261085864843560974598919905358043789211982350601721879889086454606972979<94>
factorization results 素因数分解の結果
Input number is 86419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086413 (122 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=297764412
Step 1 took 3495ms
Step 2 took 2215ms
********** Factor found in step 2: 49558042356249867524917211647
Found probable prime factor of 29 digits: 49558042356249867524917211647
Probable prime cofactor 1743808854780583937962261085864843560974598919905358043789211982350601721879889086454606972979 has 94 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10125-5479

c109

name 名前KTakahashi
date 日付January 8, 2015 14:20:36 UTC 2015 年 1 月 8 日 (木) 23 時 20 分 36 秒 (日本時間)
composite number 合成数
2429361446342938837316849569052020959775810924177848690765294301922268552166825909330504432339357751357827277<109>
prime factors 素因数
20552501649482802618503371108717<32>
118202712632020295727645834533349285629352719910841675258500402360599211923681<78>
factorization results 素因数分解の結果
Input number is 2429361446342938837316849569052020959775810924177848690765294301922268552166825909330504432339357751357827277 (109 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=803152088
Step 1 took 2652ms
Step 2 took 1732ms
********** Factor found in step 2: 20552501649482802618503371108717
Found probable prime factor of 32 digits: 20552501649482802618503371108717
Probable prime cofactor 118202712632020295727645834533349285629352719910841675258500402360599211923681 has 78 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10128-5479

c114

name 名前KTakahashi
date 日付January 8, 2015 14:41:58 UTC 2015 年 1 月 8 日 (木) 23 時 41 分 58 秒 (日本時間)
composite number 合成数
351411921683859113225790019771063257595378982541706648381251434366664721289753822175373114844188593540574379158021<114>
prime factors 素因数
194518264006607233766335678689606650011851660987809<51>
1806575456955150735178073763828720600998250870187693612166928869<64>
factorization results 素因数分解の結果
Number: 77717_128
N=351411921683859113225790019771063257595378982541706648381251434366664721289753822175373114844188593540574379158021
  ( 114 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=194518264006607233766335678689606650011851660987809 (pp51)
 r2=1806575456955150735178073763828720600998250870187693612166928869 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.41 hours.
Scaled time: 7.40 units (timescale=1.679).
Factorization parameters were as follows:
n: 351411921683859113225790019771063257595378982541706648381251434366664721289753822175373114844188593540574379158021
m: 20000000000000000000000000
c5: 875
c0: -2188
skew: 1.20
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 132191 x 132420
Total sieving time: 4.32 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.41 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:41:29 UTC 2015 年 1 月 8 日 (木) 23 時 41 分 29 秒 (日本時間)

7×10131-5479

c107

name 名前KTakahashi
date 日付January 8, 2015 15:02:30 UTC 2015 年 1 月 9 日 (金) 0 時 2 分 30 秒 (日本時間)
composite number 合成数
24058245667238115780095969535393318399437629175693389864315550715005824748541102432620403382122906748100357<107>
prime factors 素因数
1009078371856695709456520151248706698572323775337099<52>
23841800932638310622741777316394111836131362104521184943<56>
factorization results 素因数分解の結果
Number: 77717_131
N=24058245667238115780095969535393318399437629175693389864315550715005824748541102432620403382122906748100357
  ( 107 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1009078371856695709456520151248706698572323775337099 (pp52)
 r2=23841800932638310622741777316394111836131362104521184943 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.86 hours.
Scaled time: 8.58 units (timescale=1.766).
Factorization parameters were as follows:
n: 24058245667238115780095969535393318399437629175693389864315550715005824748541102432620403382122906748100357
m: 100000000000000000000000000
c5: 70
c0: -547
skew: 1.51
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 138352 x 138600
Total sieving time: 4.78 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.86 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:01:59 UTC 2015 年 1 月 9 日 (金) 0 時 1 分 59 秒 (日本時間)

7×10133-5479

c128

name 名前KTakahashi
date 日付January 8, 2015 15:04:34 UTC 2015 年 1 月 9 日 (金) 0 時 4 分 34 秒 (日本時間)
composite number 合成数
52306218536875510452650542901186828098601705332170640818427929129557272693986951840170129711949654517426563937253460243164137661<128>
prime factors 素因数
5076556412190851151824682662849953190004731620006694560589<58>
10303484151435266003804974429137014943487985426577966964704125034259249<71>
factorization results 素因数分解の結果
Number: 77717_133
N=52306218536875510452650542901186828098601705332170640818427929129557272693986951840170129711949654517426563937253460243164137661
  ( 128 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=5076556412190851151824682662849953190004731620006694560589 (pp58)
 r2=10303484151435266003804974429137014943487985426577966964704125034259249 (pp71)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 7.22 hours.
Scaled time: 14.93 units (timescale=2.068).
Factorization parameters were as follows:
n: 52306218536875510452650542901186828098601705332170640818427929129557272693986951840170129711949654517426563937253460243164137661
m: 200000000000000000000000000
c5: 875
c0: -2188
skew: 1.20
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1925001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 162175 x 162401
Total sieving time: 7.09 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 7.22 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:04:05 UTC 2015 年 1 月 9 日 (金) 0 時 4 分 5 秒 (日本時間)

7×10135-5479

c119

name 名前KTakahashi
date 日付January 8, 2015 15:05:15 UTC 2015 年 1 月 9 日 (金) 0 時 5 分 15 秒 (日本時間)
composite number 合成数
33207094149832221276642852405722665619538169607915831052526696250206855902186620239495391087534198476469132036703037651<119>
prime factors 素因数
1620919165680909807054619055052528101<37>
20486582460688412161581766983663910750056824162973170259255272706200914735182654551<83>
factorization results 素因数分解の結果
Input number is 33207094149832221276642852405722665619538169607915831052526696250206855902186620239495391087534198476469132036703037651 (119 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=439045586
Step 1 took 3556ms
Step 2 took 2216ms
********** Factor found in step 2: 1620919165680909807054619055052528101
Found probable prime factor of 37 digits: 1620919165680909807054619055052528101
Probable prime cofactor 20486582460688412161581766983663910750056824162973170259255272706200914735182654551 has 83 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10136-5479

c125

name 名前KTakahashi
date 日付January 8, 2015 15:06:01 UTC 2015 年 1 月 9 日 (金) 0 時 6 分 1 秒 (日本時間)
composite number 合成数
13990168818055962863889037399712251504478986745968362471403467794099164934331234223430021859553536113833559844891261145516529<125>
prime factors 素因数
26670585089493513264092609514708148621883<41>
524554252226254502274417672377271295526319209791945963153219361317668871140817831363<84>
factorization results 素因数分解の結果
Number: 77717_136
N=13990168818055962863889037399712251504478986745968362471403467794099164934331234223430021859553536113833559844891261145516529
  ( 125 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=26670585089493513264092609514708148621883 (pp41)
 r2=524554252226254502274417672377271295526319209791945963153219361317668871140817831363 (pp84)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 8.58 hours.
Scaled time: 14.87 units (timescale=1.733).
Factorization parameters were as follows:
n: 13990168818055962863889037399712251504478986745968362471403467794099164934331234223430021859553536113833559844891261145516529
m: 1000000000000000000000000000
c5: 70
c0: -547
skew: 1.51
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 2225001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 174203 x 174428
Total sieving time: 8.46 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.58 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:05:33 UTC 2015 年 1 月 9 日 (金) 0 時 5 分 33 秒 (日本時間)

7×10139-5479

c103

name 名前KTakahashi
date 日付January 8, 2015 15:06:41 UTC 2015 年 1 月 9 日 (金) 0 時 6 分 41 秒 (日本時間)
composite number 合成数
3430437596022263719085519147919427140745584109844360542028639144155221823823041563356748065597161346123<103>
prime factors 素因数
640216688494001687375665733835002365631<39>
5358244571992915403588350554356932639353999773317275355397161333<64>
factorization results 素因数分解の結果
Number: 77717_139
N=3430437596022263719085519147919427140745584109844360542028639144155221823823041563356748065597161346123
  ( 103 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=640216688494001687375665733835002365631 (pp39)
 r2=5358244571992915403588350554356932639353999773317275355397161333 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 7.15 hours.
Scaled time: 12.46 units (timescale=1.742).
Factorization parameters were as follows:
n: 3430437596022263719085519147919427140745584109844360542028639144155221823823041563356748065597161346123
m: 5000000000000000000000000000
c5: 112
c0: -2735
skew: 1.89
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 216376 x 216603
Total sieving time: 6.97 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 7.15 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:06:14 UTC 2015 年 1 月 9 日 (金) 0 時 6 分 14 秒 (日本時間)

7×10140-5479

c130

name 名前KTakahashi
date 日付January 8, 2015 15:07:25 UTC 2015 年 1 月 9 日 (金) 0 時 7 分 25 秒 (日本時間)
composite number 合成数
1136947913588198329717048862412427577663857226569863868566135250459521883967047037838821904149459196053319843696077339636324633659<130>
prime factors 素因数
35649310437199162600146499760069676097<38>
31892563969535344977633280254779068533216303069337329960255750907812271715342407000663124347<92>
factorization results 素因数分解の結果
Number: 77717_140
N=1136947913588198329717048862412427577663857226569863868566135250459521883967047037838821904149459196053319843696077339636324633659
  ( 130 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=35649310437199162600146499760069676097 (pp38)
 r2=31892563969535344977633280254779068533216303069337329960255750907812271715342407000663124347 (pp92)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.99 hours.
Scaled time: 10.55 units (timescale=1.761).
Factorization parameters were as follows:
n: 1136947913588198329717048862412427577663857226569863868566135250459521883967047037838821904149459196053319843696077339636324633659
m: 10000000000000000000000000000
c5: 7
c0: -547
skew: 2.39
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 1550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 210095 x 210320
Total sieving time: 5.80 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 5.99 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:06:58 UTC 2015 年 1 月 9 日 (金) 0 時 6 分 58 秒 (日本時間)

7×10142-5479

c138

name 名前KTakahashi
date 日付January 8, 2015 15:08:18 UTC 2015 年 1 月 9 日 (金) 0 時 8 分 18 秒 (日本時間)
composite number 合成数
145768648495563427062574315980616934568618508870022260955034536757647127420540468500436264740854579113851561702827703539887508251546709481<138>
prime factors 素因数
71069919491045050628005692950709333848629772066419657744200705007<65>
2051059710485961123523059552314428525609186433286123514693013304408527783<73>
factorization results 素因数分解の結果
Number: 77717_142
N=145768648495563427062574315980616934568618508870022260955034536757647127420540468500436264740854579113851561702827703539887508251546709481
  ( 138 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=71069919491045050628005692950709333848629772066419657744200705007 (pp65)
 r2=2051059710485961123523059552314428525609186433286123514693013304408527783 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 9.44 hours.
Scaled time: 19.46 units (timescale=2.061).
Factorization parameters were as follows:
n: 145768648495563427062574315980616934568618508870022260955034536757647127420540468500436264740854579113851561702827703539887508251546709481
m: 10000000000000000000000000000
c5: 700
c0: -547
skew: 0.95
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 242906 x 243132
Total sieving time: 9.24 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 9.44 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:07:37 UTC 2015 年 1 月 9 日 (金) 0 時 7 分 37 秒 (日本時間)

7×10143-5479

c110

name 名前KTakahashi
date 日付January 8, 2015 15:09:00 UTC 2015 年 1 月 9 日 (金) 0 時 9 分 0 秒 (日本時間)
composite number 合成数
29292857310499908363669932462915660289907746155526164296886602815302583161792305265542771333100303540435934793<110>
prime factors 素因数
60023628462062629031854194560609971127<38>
488022101646423855806792388903737904570164499259722085364974836366312959<72>
factorization results 素因数分解の結果
Number: 77717_143
N=29292857310499908363669932462915660289907746155526164296886602815302583161792305265542771333100303540435934793
  ( 110 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=60023628462062629031854194560609971127 (pp38)
 r2=488022101646423855806792388903737904570164499259722085364974836366312959 (pp72)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 14.88 hours.
Scaled time: 25.23 units (timescale=1.695).
Factorization parameters were as follows:
n: 29292857310499908363669932462915660289907746155526164296886602815302583161792305265542771333100303540435934793
m: 20000000000000000000000000000
c5: 875
c0: -2188
skew: 1.20
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 3250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 269885 x 270118
Total sieving time: 14.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 14.88 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:08:31 UTC 2015 年 1 月 9 日 (金) 0 時 8 分 31 秒 (日本時間)

7×10145-5479

c136

name 名前KTakahashi
date 日付January 8, 2015 15:09:40 UTC 2015 年 1 月 9 日 (金) 0 時 9 分 40 秒 (日本時間)
composite number 合成数
2151793362113106608624228175317729737117678781427415717175757166549075908742534625862081631789168259236676730995540262519130161150220123<136>
prime factors 素因数
3975729938027259536885044528689408303239<40>
541232275746782091273960212741362842655109260088048875263419808036698729882980892000047865244557<96>
factorization results 素因数分解の結果
Number: 77717_145
N=2151793362113106608624228175317729737117678781427415717175757166549075908742534625862081631789168259236676730995540262519130161150220123
  ( 136 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=3975729938027259536885044528689408303239 (pp40)
 r2=541232275746782091273960212741362842655109260088048875263419808036698729882980892000047865244557 (pp96)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 9.80 hours.
Scaled time: 17.12 units (timescale=1.747).
Factorization parameters were as follows:
n: 2151793362113106608624228175317729737117678781427415717175757166549075908742534625862081631789168259236676730995540262519130161150220123
m: 100000000000000000000000000000
c5: 7
c0: -547
skew: 2.39
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 232996 x 233221
Total sieving time: 9.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 9.80 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:09:12 UTC 2015 年 1 月 9 日 (金) 0 時 9 分 12 秒 (日本時間)

7×10147-5479

c147

name 名前Cyp
date 日付January 13, 2015 08:36:29 UTC 2015 年 1 月 13 日 (火) 17 時 36 分 29 秒 (日本時間)
composite number 合成数
259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259239<147>
prime factors 素因数
1019102311065225504616563434314664295012129401143483847<55>
254399638234816950072760789475389267544818393760229470631937125757376309077141663295106512737<93>
factorization results 素因数分解の結果
01/13/15 08:12:04 v1.34.3, 
01/13/15 08:12:04 v1.34.3, ****************************
01/13/15 08:12:04 v1.34.3, Starting factorization of 259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259239
01/13/15 08:12:04 v1.34.3, using pretesting plan: none
01/13/15 08:12:04 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/13/15 08:12:04 v1.34.3, ****************************
01/13/15 08:12:04 v1.34.3, nfs: commencing nfs on c147: 259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259239
01/13/15 08:12:04 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/13/15 08:12:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 08:15:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
[17 lines snipped]
01/13/15 09:24:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 09:28:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 09:32:34 v1.34.3, nfs: commencing msieve filtering
01/13/15 09:33:23 v1.34.3, nfs: commencing msieve linear algebra
01/13/15 09:35:38 v1.34.3, nfs: commencing msieve sqrt
01/13/15 09:36:23 v1.34.3, prp55 = 1019102311065225504616563434314664295012129401143483847
01/13/15 09:36:23 v1.34.3, prp93 = 254399638234816950072760789475389267544818393760229470631937125757376309077141663295106512737
01/13/15 09:36:23 v1.34.3, NFS elapsed time = 5059.4265 seconds.
01/13/15 09:36:23 v1.34.3, 
01/13/15 09:36:23 v1.34.3, 
01/13/15 09:36:23 v1.34.3, Total factoring time = 5059.4272 seconds
--
Tue Jan 13 09:32:34 2015  
Tue Jan 13 09:32:34 2015  commencing relation filtering
Tue Jan 13 09:32:34 2015  estimated available RAM is 15987.3 MB
Tue Jan 13 09:32:34 2015  commencing duplicate removal, pass 1
Tue Jan 13 09:32:46 2015  found 580562 hash collisions in 4591874 relations
Tue Jan 13 09:32:51 2015  added 185299 free relations
Tue Jan 13 09:32:51 2015  commencing duplicate removal, pass 2
Tue Jan 13 09:32:54 2015  found 387889 duplicates and 4389284 unique relations
Tue Jan 13 09:32:54 2015  memory use: 20.6 MB
Tue Jan 13 09:32:54 2015  reading ideals above 100000
Tue Jan 13 09:32:54 2015  commencing singleton removal, initial pass
Tue Jan 13 09:33:12 2015  memory use: 94.1 MB
Tue Jan 13 09:33:12 2015  reading all ideals from disk
Tue Jan 13 09:33:12 2015  memory use: 145.9 MB
Tue Jan 13 09:33:12 2015  keeping 4801570 ideals with weight <= 200, target excess is 24227
Tue Jan 13 09:33:12 2015  commencing in-memory singleton removal
Tue Jan 13 09:33:12 2015  begin with 4389284 relations and 4801570 unique ideals
Tue Jan 13 09:33:13 2015  reduce to 1857212 relations and 1642379 ideals in 11 passes
Tue Jan 13 09:33:13 2015  max relations containing the same ideal: 116
Tue Jan 13 09:33:14 2015  removing 409188 relations and 315823 ideals in 93365 cliques
Tue Jan 13 09:33:14 2015  commencing in-memory singleton removal
Tue Jan 13 09:33:14 2015  begin with 1448024 relations and 1642379 unique ideals
Tue Jan 13 09:33:14 2015  reduce to 1378547 relations and 1252890 ideals in 10 passes
Tue Jan 13 09:33:14 2015  max relations containing the same ideal: 92
Tue Jan 13 09:33:14 2015  removing 333564 relations and 240199 ideals in 93365 cliques
Tue Jan 13 09:33:14 2015  commencing in-memory singleton removal
Tue Jan 13 09:33:14 2015  begin with 1044983 relations and 1252890 unique ideals
Tue Jan 13 09:33:15 2015  reduce to 985963 relations and 949687 ideals in 10 passes
Tue Jan 13 09:33:15 2015  max relations containing the same ideal: 72
Tue Jan 13 09:33:15 2015  removing 49460 relations and 41288 ideals in 8172 cliques
Tue Jan 13 09:33:15 2015  commencing in-memory singleton removal
Tue Jan 13 09:33:15 2015  begin with 936503 relations and 949687 unique ideals
Tue Jan 13 09:33:15 2015  reduce to 934916 relations and 906802 ideals in 6 passes
Tue Jan 13 09:33:15 2015  max relations containing the same ideal: 68
Tue Jan 13 09:33:15 2015  relations with 0 large ideals: 567
Tue Jan 13 09:33:15 2015  relations with 1 large ideals: 147
Tue Jan 13 09:33:15 2015  relations with 2 large ideals: 2006
Tue Jan 13 09:33:15 2015  relations with 3 large ideals: 16861
Tue Jan 13 09:33:15 2015  relations with 4 large ideals: 72693
Tue Jan 13 09:33:15 2015  relations with 5 large ideals: 180362
Tue Jan 13 09:33:15 2015  relations with 6 large ideals: 273611
Tue Jan 13 09:33:15 2015  relations with 7+ large ideals: 388669
Tue Jan 13 09:33:15 2015  commencing 2-way merge
Tue Jan 13 09:33:15 2015  reduce to 575357 relation sets and 547243 unique ideals
Tue Jan 13 09:33:15 2015  commencing full merge
Tue Jan 13 09:33:20 2015  memory use: 71.8 MB
Tue Jan 13 09:33:21 2015  found 293040 cycles, need 289443
Tue Jan 13 09:33:21 2015  weight of 289443 cycles is about 20556450 (71.02/cycle)
Tue Jan 13 09:33:21 2015  distribution of cycle lengths:
Tue Jan 13 09:33:21 2015  1 relations: 27554
Tue Jan 13 09:33:21 2015  2 relations: 28871
Tue Jan 13 09:33:21 2015  3 relations: 30284
Tue Jan 13 09:33:21 2015  4 relations: 29589
Tue Jan 13 09:33:21 2015  5 relations: 28209
Tue Jan 13 09:33:21 2015  6 relations: 26268
Tue Jan 13 09:33:21 2015  7 relations: 23617
Tue Jan 13 09:33:21 2015  8 relations: 20558
Tue Jan 13 09:33:21 2015  9 relations: 17276
Tue Jan 13 09:33:21 2015  10+ relations: 57217
Tue Jan 13 09:33:21 2015  heaviest cycle: 21 relations
Tue Jan 13 09:33:21 2015  commencing cycle optimization
Tue Jan 13 09:33:21 2015  start with 1784794 relations
Tue Jan 13 09:33:22 2015  pruned 50180 relations
Tue Jan 13 09:33:22 2015  memory use: 56.7 MB
Tue Jan 13 09:33:22 2015  distribution of cycle lengths:
Tue Jan 13 09:33:22 2015  1 relations: 27554
Tue Jan 13 09:33:22 2015  2 relations: 29495
Tue Jan 13 09:33:22 2015  3 relations: 31159
Tue Jan 13 09:33:22 2015  4 relations: 30562
Tue Jan 13 09:33:22 2015  5 relations: 29067
Tue Jan 13 09:33:22 2015  6 relations: 27054
Tue Jan 13 09:33:22 2015  7 relations: 24295
Tue Jan 13 09:33:22 2015  8 relations: 20693
Tue Jan 13 09:33:22 2015  9 relations: 17465
Tue Jan 13 09:33:22 2015  10+ relations: 52099
Tue Jan 13 09:33:22 2015  heaviest cycle: 21 relations
Tue Jan 13 09:33:23 2015  RelProcTime: 49
Tue Jan 13 09:33:23 2015  
Tue Jan 13 09:33:23 2015  commencing linear algebra
Tue Jan 13 09:33:23 2015  read 289443 cycles
Tue Jan 13 09:33:23 2015  cycles contain 918106 unique relations
Tue Jan 13 09:33:27 2015  read 918106 relations
Tue Jan 13 09:33:28 2015  using 20 quadratic characters above 67108440
Tue Jan 13 09:33:31 2015  building initial matrix
Tue Jan 13 09:33:35 2015  memory use: 110.0 MB
Tue Jan 13 09:33:35 2015  read 289443 cycles
Tue Jan 13 09:33:35 2015  matrix is 289266 x 289443 (87.0 MB) with weight 25804365 (89.15/col)
Tue Jan 13 09:33:35 2015  sparse part has weight 19614383 (67.77/col)
Tue Jan 13 09:33:36 2015  filtering completed in 2 passes
Tue Jan 13 09:33:36 2015  matrix is 289216 x 289393 (87.0 MB) with weight 25802924 (89.16/col)
Tue Jan 13 09:33:36 2015  sparse part has weight 19614010 (67.78/col)
Tue Jan 13 09:33:37 2015  matrix starts at (0, 0)
Tue Jan 13 09:33:37 2015  matrix is 289216 x 289393 (87.0 MB) with weight 25802924 (89.16/col)
Tue Jan 13 09:33:37 2015  sparse part has weight 19614010 (67.78/col)
Tue Jan 13 09:33:37 2015  saving the first 48 matrix rows for later
Tue Jan 13 09:33:37 2015  matrix includes 64 packed rows
Tue Jan 13 09:33:37 2015  matrix is 289168 x 289393 (82.0 MB) with weight 20610288 (71.22/col)
Tue Jan 13 09:33:37 2015  sparse part has weight 18600383 (64.27/col)
Tue Jan 13 09:33:37 2015  using block size 65536 for processor cache size 8192 kB
Tue Jan 13 09:33:37 2015  commencing Lanczos iteration (8 threads)
Tue Jan 13 09:33:37 2015  memory use: 78.4 MB
Tue Jan 13 09:33:42 2015  linear algebra at 4.2%, ETA 0h 1m
Tue Jan 13 09:35:38 2015  lanczos halted after 4575 iterations (dim = 289166)
Tue Jan 13 09:35:38 2015  recovered 37 nontrivial dependencies
Tue Jan 13 09:35:38 2015  BLanczosTime: 135
Tue Jan 13 09:35:38 2015  
Tue Jan 13 09:35:38 2015  commencing square root phase
Tue Jan 13 09:35:38 2015  reading relations for dependency 1
Tue Jan 13 09:35:38 2015  read 144670 cycles
Tue Jan 13 09:35:38 2015  cycles contain 459900 unique relations
Tue Jan 13 09:35:42 2015  read 459900 relations
Tue Jan 13 09:35:43 2015  multiplying 459900 relations
Tue Jan 13 09:35:50 2015  multiply complete, coefficients have about 13.95 million bits
Tue Jan 13 09:35:50 2015  initial square root is modulo 103599121
Tue Jan 13 09:36:00 2015  GCD is 1, no factor found
Tue Jan 13 09:36:00 2015  reading relations for dependency 2
Tue Jan 13 09:36:00 2015  read 144379 cycles
Tue Jan 13 09:36:00 2015  cycles contain 459112 unique relations
Tue Jan 13 09:36:04 2015  read 459112 relations
Tue Jan 13 09:36:05 2015  multiplying 459112 relations
Tue Jan 13 09:36:13 2015  multiply complete, coefficients have about 13.93 million bits
Tue Jan 13 09:36:13 2015  initial square root is modulo 100327411
Tue Jan 13 09:36:23 2015  sqrtTime: 45
--
n: 259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259239
m: 100000000000000000000000000000
deg: 5
c5: 700
c0: -547
skew: 0.95
# Murphy_E = 1.258e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:09:54 UTC 2015 年 1 月 9 日 (金) 0 時 9 分 54 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:04:15 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 15 秒 (日本時間)

7×10152-5479

c106

name 名前Cyp
date 日付January 9, 2015 14:12:34 UTC 2015 年 1 月 9 日 (金) 23 時 12 分 34 秒 (日本時間)
composite number 合成数
3548427025747039323814584149145731523883070196115391477686731077002963850852215744986460182722426178509393<106>
prime factors 素因数
10847925340503045984268048487266237689571699117494563<53>
327106512477388575600660202325640297025481851020988411<54>
factorization results 素因数分解の結果
01/09/15 14:09:00 v1.34.3, 
01/09/15 14:09:00 v1.34.3, ****************************
01/09/15 14:09:00 v1.34.3, Starting factorization of 3548427025747039323814584149145731523883070196115391477686731077002963850852215744986460182722426178509393
01/09/15 14:09:00 v1.34.3, using pretesting plan: none
01/09/15 14:09:00 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 14:09:00 v1.34.3, ****************************
01/09/15 14:09:00 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C106
01/09/15 14:09:00 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C106
01/09/15 14:09:00 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C106
01/09/15 14:09:00 v1.34.3, final ECM pretested depth: 0.00
01/09/15 14:09:00 v1.34.3, scheduler: switching to sieve method
01/09/15 14:09:00 v1.34.3, nfs: commencing nfs on c106: 3548427025747039323814584149145731523883070196115391477686731077002963850852215744986460182722426178509393
01/09/15 14:09:00 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 14:09:00 v1.34.3, nfs: setting deadline of 264 seconds
01/09/15 14:15:05 v1.34.3, nfs: completed 46 ranges of size 250 in 364.5715 seconds
01/09/15 14:15:05 v1.34.3, nfs: best poly = # norm 1.623486e-14 alpha -5.047736 e 4.832e-09 rroots 4
01/09/15 14:15:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 14:16:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
[23 lines snipped]
01/09/15 14:51:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 14:53:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 14:54:33 v1.34.3, nfs: commencing msieve filtering
01/09/15 14:55:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 14:56:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 14:58:27 v1.34.3, nfs: commencing msieve filtering
01/09/15 14:59:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 15:00:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 15:02:08 v1.34.3, nfs: commencing msieve filtering
01/09/15 15:02:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 15:04:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 15:06:08 v1.34.3, nfs: commencing msieve filtering
01/09/15 15:07:11 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 15:11:16 v1.34.3, nfs: commencing msieve sqrt
01/09/15 15:12:32 v1.34.3, prp54 = 327106512477388575600660202325640297025481851020988411
01/09/15 15:12:32 v1.34.3, prp53 = 10847925340503045984268048487266237689571699117494563
01/09/15 15:12:33 v1.34.3, NFS elapsed time = 3812.3953 seconds.
01/09/15 15:12:33 v1.34.3, 
01/09/15 15:12:33 v1.34.3, 
01/09/15 15:12:33 v1.34.3, Total factoring time = 3812.4181 seconds
--
Fri Jan  9 14:54:33 2015  
Fri Jan  9 14:54:33 2015  commencing relation filtering
Fri Jan  9 14:54:33 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 14:54:33 2015  commencing duplicate removal, pass 1
Fri Jan  9 14:54:47 2015  found 494085 hash collisions in 4606771 relations
Fri Jan  9 14:54:50 2015  added 159335 free relations
Fri Jan  9 14:54:50 2015  commencing duplicate removal, pass 2
Fri Jan  9 14:54:53 2015  found 271019 duplicates and 4495087 unique relations
Fri Jan  9 14:54:53 2015  memory use: 20.6 MB
Fri Jan  9 14:54:53 2015  reading ideals above 100000
Fri Jan  9 14:54:53 2015  commencing singleton removal, initial pass
Fri Jan  9 14:55:12 2015  memory use: 172.2 MB
Fri Jan  9 14:55:12 2015  reading all ideals from disk
Fri Jan  9 14:55:12 2015  memory use: 146.2 MB
Fri Jan  9 14:55:12 2015  keeping 5539953 ideals with weight <= 200, target excess is 21549
Fri Jan  9 14:55:12 2015  commencing in-memory singleton removal
Fri Jan  9 14:55:12 2015  begin with 4495087 relations and 5539953 unique ideals
Fri Jan  9 14:55:14 2015  reduce to 404 relations and 0 ideals in 84 passes
Fri Jan  9 14:55:14 2015  max relations containing the same ideal: 0
Fri Jan  9 14:58:27 2015  
Fri Jan  9 14:58:27 2015  commencing relation filtering
Fri Jan  9 14:58:27 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 14:58:27 2015  commencing duplicate removal, pass 1
Fri Jan  9 14:58:42 2015  found 581561 hash collisions in 5126504 relations
Fri Jan  9 14:58:45 2015  added 1067 free relations
Fri Jan  9 14:58:45 2015  commencing duplicate removal, pass 2
Fri Jan  9 14:58:49 2015  found 309365 duplicates and 4818206 unique relations
Fri Jan  9 14:58:49 2015  memory use: 20.6 MB
Fri Jan  9 14:58:49 2015  reading ideals above 100000
Fri Jan  9 14:58:49 2015  commencing singleton removal, initial pass
Fri Jan  9 14:59:08 2015  memory use: 172.2 MB
Fri Jan  9 14:59:08 2015  reading all ideals from disk
Fri Jan  9 14:59:08 2015  memory use: 156.8 MB
Fri Jan  9 14:59:09 2015  keeping 5691842 ideals with weight <= 200, target excess is 22898
Fri Jan  9 14:59:09 2015  commencing in-memory singleton removal
Fri Jan  9 14:59:09 2015  begin with 4818206 relations and 5691842 unique ideals
Fri Jan  9 14:59:11 2015  reduce to 1230819 relations and 1323504 ideals in 29 passes
Fri Jan  9 14:59:11 2015  max relations containing the same ideal: 80
Fri Jan  9 15:02:08 2015  
Fri Jan  9 15:02:08 2015  commencing relation filtering
Fri Jan  9 15:02:08 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 15:02:08 2015  commencing duplicate removal, pass 1
Fri Jan  9 15:02:24 2015  found 652420 hash collisions in 5475097 relations
Fri Jan  9 15:02:27 2015  added 851 free relations
Fri Jan  9 15:02:27 2015  commencing duplicate removal, pass 2
Fri Jan  9 15:02:31 2015  found 348314 duplicates and 5127634 unique relations
Fri Jan  9 15:02:31 2015  memory use: 20.6 MB
Fri Jan  9 15:02:31 2015  reading ideals above 100000
Fri Jan  9 15:02:31 2015  commencing singleton removal, initial pass
Fri Jan  9 15:02:53 2015  memory use: 172.2 MB
Fri Jan  9 15:02:53 2015  reading all ideals from disk
Fri Jan  9 15:02:53 2015  memory use: 167.0 MB
Fri Jan  9 15:02:53 2015  keeping 5826494 ideals with weight <= 200, target excess is 24450
Fri Jan  9 15:02:53 2015  commencing in-memory singleton removal
Fri Jan  9 15:02:53 2015  begin with 5127634 relations and 5826494 unique ideals
Fri Jan  9 15:02:55 2015  reduce to 1688248 relations and 1690535 ideals in 22 passes
Fri Jan  9 15:02:55 2015  max relations containing the same ideal: 97
Fri Jan  9 15:06:08 2015  
Fri Jan  9 15:06:08 2015  commencing relation filtering
Fri Jan  9 15:06:08 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 15:06:08 2015  commencing duplicate removal, pass 1
Fri Jan  9 15:06:25 2015  found 728852 hash collisions in 5837926 relations
Fri Jan  9 15:06:29 2015  added 726 free relations
Fri Jan  9 15:06:29 2015  commencing duplicate removal, pass 2
Fri Jan  9 15:06:33 2015  found 390716 duplicates and 5447936 unique relations
Fri Jan  9 15:06:33 2015  memory use: 20.6 MB
Fri Jan  9 15:06:33 2015  reading ideals above 100000
Fri Jan  9 15:06:33 2015  commencing singleton removal, initial pass
Fri Jan  9 15:06:55 2015  memory use: 172.2 MB
Fri Jan  9 15:06:55 2015  reading all ideals from disk
Fri Jan  9 15:06:55 2015  memory use: 177.5 MB
Fri Jan  9 15:06:56 2015  keeping 5955336 ideals with weight <= 200, target excess is 26062
Fri Jan  9 15:06:56 2015  commencing in-memory singleton removal
Fri Jan  9 15:06:56 2015  begin with 5447936 relations and 5955336 unique ideals
Fri Jan  9 15:06:58 2015  reduce to 2136979 relations and 2024586 ideals in 19 passes
Fri Jan  9 15:06:58 2015  max relations containing the same ideal: 110
Fri Jan  9 15:06:58 2015  removing 350178 relations and 309097 ideals in 41081 cliques
Fri Jan  9 15:06:58 2015  commencing in-memory singleton removal
Fri Jan  9 15:06:58 2015  begin with 1786801 relations and 2024586 unique ideals
Fri Jan  9 15:06:59 2015  reduce to 1735840 relations and 1663171 ideals in 9 passes
Fri Jan  9 15:06:59 2015  max relations containing the same ideal: 96
Fri Jan  9 15:06:59 2015  removing 260368 relations and 219287 ideals in 41081 cliques
Fri Jan  9 15:06:59 2015  commencing in-memory singleton removal
Fri Jan  9 15:06:59 2015  begin with 1475472 relations and 1663171 unique ideals
Fri Jan  9 15:07:00 2015  reduce to 1440592 relations and 1408109 ideals in 11 passes
Fri Jan  9 15:07:00 2015  max relations containing the same ideal: 82
Fri Jan  9 15:07:00 2015  relations with 0 large ideals: 475
Fri Jan  9 15:07:00 2015  relations with 1 large ideals: 222
Fri Jan  9 15:07:00 2015  relations with 2 large ideals: 3025
Fri Jan  9 15:07:00 2015  relations with 3 large ideals: 26413
Fri Jan  9 15:07:00 2015  relations with 4 large ideals: 120999
Fri Jan  9 15:07:00 2015  relations with 5 large ideals: 320151
Fri Jan  9 15:07:00 2015  relations with 6 large ideals: 436945
Fri Jan  9 15:07:00 2015  relations with 7+ large ideals: 532362
Fri Jan  9 15:07:00 2015  commencing 2-way merge
Fri Jan  9 15:07:01 2015  reduce to 822605 relation sets and 790124 unique ideals
Fri Jan  9 15:07:01 2015  ignored 2 oversize relation sets
Fri Jan  9 15:07:01 2015  commencing full merge
Fri Jan  9 15:07:08 2015  memory use: 90.4 MB
Fri Jan  9 15:07:08 2015  found 392787 cycles, need 388324
Fri Jan  9 15:07:08 2015  weight of 388324 cycles is about 27260405 (70.20/cycle)
Fri Jan  9 15:07:08 2015  distribution of cycle lengths:
Fri Jan  9 15:07:08 2015  1 relations: 42472
Fri Jan  9 15:07:08 2015  2 relations: 40470
Fri Jan  9 15:07:08 2015  3 relations: 40268
Fri Jan  9 15:07:08 2015  4 relations: 36875
Fri Jan  9 15:07:08 2015  5 relations: 33647
Fri Jan  9 15:07:08 2015  6 relations: 29814
Fri Jan  9 15:07:08 2015  7 relations: 25766
Fri Jan  9 15:07:08 2015  8 relations: 23364
Fri Jan  9 15:07:08 2015  9 relations: 20334
Fri Jan  9 15:07:08 2015  10+ relations: 95314
Fri Jan  9 15:07:08 2015  heaviest cycle: 25 relations
Fri Jan  9 15:07:08 2015  commencing cycle optimization
Fri Jan  9 15:07:09 2015  start with 2579603 relations
Fri Jan  9 15:07:11 2015  pruned 59573 relations
Fri Jan  9 15:07:11 2015  memory use: 83.8 MB
Fri Jan  9 15:07:11 2015  distribution of cycle lengths:
Fri Jan  9 15:07:11 2015  1 relations: 42472
Fri Jan  9 15:07:11 2015  2 relations: 41313
Fri Jan  9 15:07:11 2015  3 relations: 41592
Fri Jan  9 15:07:11 2015  4 relations: 37663
Fri Jan  9 15:07:11 2015  5 relations: 34410
Fri Jan  9 15:07:11 2015  6 relations: 30179
Fri Jan  9 15:07:11 2015  7 relations: 26216
Fri Jan  9 15:07:11 2015  8 relations: 23497
Fri Jan  9 15:07:11 2015  9 relations: 20166
Fri Jan  9 15:07:11 2015  10+ relations: 90816
Fri Jan  9 15:07:11 2015  heaviest cycle: 25 relations
Fri Jan  9 15:07:11 2015  RelProcTime: 63
Fri Jan  9 15:07:11 2015  
Fri Jan  9 15:07:11 2015  commencing linear algebra
Fri Jan  9 15:07:11 2015  read 388324 cycles
Fri Jan  9 15:07:12 2015  cycles contain 1388814 unique relations
Fri Jan  9 15:07:18 2015  read 1388814 relations
Fri Jan  9 15:07:19 2015  using 20 quadratic characters above 67107738
Fri Jan  9 15:07:23 2015  building initial matrix
Fri Jan  9 15:07:30 2015  memory use: 171.8 MB
Fri Jan  9 15:07:30 2015  read 388324 cycles
Fri Jan  9 15:07:30 2015  matrix is 388149 x 388324 (116.6 MB) with weight 37179347 (95.74/col)
Fri Jan  9 15:07:30 2015  sparse part has weight 26291263 (67.70/col)
Fri Jan  9 15:07:32 2015  filtering completed in 2 passes
Fri Jan  9 15:07:32 2015  matrix is 387535 x 387710 (116.5 MB) with weight 37152107 (95.82/col)
Fri Jan  9 15:07:32 2015  sparse part has weight 26282599 (67.79/col)
Fri Jan  9 15:07:32 2015  matrix starts at (0, 0)
Fri Jan  9 15:07:33 2015  matrix is 387535 x 387710 (116.5 MB) with weight 37152107 (95.82/col)
Fri Jan  9 15:07:33 2015  sparse part has weight 26282599 (67.79/col)
Fri Jan  9 15:07:33 2015  saving the first 48 matrix rows for later
Fri Jan  9 15:07:33 2015  matrix includes 64 packed rows
Fri Jan  9 15:07:33 2015  matrix is 387487 x 387710 (112.2 MB) with weight 29452744 (75.97/col)
Fri Jan  9 15:07:33 2015  sparse part has weight 25525184 (65.84/col)
Fri Jan  9 15:07:33 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 15:07:34 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 15:07:34 2015  memory use: 106.7 MB
Fri Jan  9 15:07:41 2015  linear algebra at 3.1%, ETA 0h 3m
Fri Jan  9 15:11:16 2015  lanczos halted after 6130 iterations (dim = 387478)
Fri Jan  9 15:11:16 2015  recovered 29 nontrivial dependencies
Fri Jan  9 15:11:16 2015  BLanczosTime: 245
Fri Jan  9 15:11:16 2015  
Fri Jan  9 15:11:16 2015  commencing square root phase
Fri Jan  9 15:11:16 2015  reading relations for dependency 1
Fri Jan  9 15:11:16 2015  read 193423 cycles
Fri Jan  9 15:11:17 2015  cycles contain 692758 unique relations
Fri Jan  9 15:11:22 2015  read 692758 relations
Fri Jan  9 15:11:23 2015  multiplying 692758 relations
Fri Jan  9 15:11:36 2015  multiply complete, coefficients have about 30.24 million bits
Fri Jan  9 15:11:36 2015  initial square root is modulo 482505013
Fri Jan  9 15:11:54 2015  GCD is N, no factor found
Fri Jan  9 15:11:54 2015  reading relations for dependency 2
Fri Jan  9 15:11:54 2015  read 193871 cycles
Fri Jan  9 15:11:54 2015  cycles contain 696010 unique relations
Fri Jan  9 15:11:59 2015  read 696010 relations
Fri Jan  9 15:12:01 2015  multiplying 696010 relations
Fri Jan  9 15:12:14 2015  multiply complete, coefficients have about 30.38 million bits
Fri Jan  9 15:12:14 2015  initial square root is modulo 529462993
Fri Jan  9 15:12:32 2015  sqrtTime: 76
--
n: 3548427025747039323814584149145731523883070196115391477686731077002963850852215744986460182722426178509393
skew: 4046242.91
c0: 445755934455773360218281077960
c1: 194865921535433141396010
c2: -97729063520738801
c3: -26256813192
c4: 4248
Y0: -30231812679106534084040073
Y1: 60608138474125
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10154-5479

c100

name 名前Cyp
date 日付January 9, 2015 07:50:57 UTC 2015 年 1 月 9 日 (金) 16 時 50 分 57 秒 (日本時間)
composite number 合成数
4261744142818060669112158711947432145041155879601555445358489511544574077873158262251692664144555683<100>
prime factors 素因数
9210564102271116063797350983078805833893330887583<49>
462701751542797610890753187356948506995170152920701<51>
factorization results 素因数分解の結果
01/09/15 08:23:33 v1.34.3, 
01/09/15 08:23:33 v1.34.3, ****************************
01/09/15 08:23:33 v1.34.3, Starting factorization of 4261744142818060669112158711947432145041155879601555445358489511544574077873158262251692664144555683
01/09/15 08:23:33 v1.34.3, using pretesting plan: none
01/09/15 08:23:33 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 08:23:33 v1.34.3, ****************************
01/09/15 08:23:33 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C100
01/09/15 08:23:33 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C100
01/09/15 08:23:33 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C100
01/09/15 08:23:33 v1.34.3, final ECM pretested depth: 0.00
01/09/15 08:23:33 v1.34.3, scheduler: switching to sieve method
01/09/15 08:23:33 v1.34.3, nfs: commencing nfs on c100: 4261744142818060669112158711947432145041155879601555445358489511544574077873158262251692664144555683
01/09/15 08:23:33 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 08:23:33 v1.34.3, nfs: setting deadline of 156 seconds
01/09/15 08:26:18 v1.34.3, nfs: completed 257 ranges of size 250 in 164.7127 seconds
01/09/15 08:26:18 v1.34.3, nfs: best poly = # norm 1.108586e-13 alpha -4.701404 e 1.159e-08 rroots 2
01/09/15 08:26:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 08:27:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
[10 lines snipped]
01/09/15 08:42:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 08:44:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 08:45:41 v1.34.3, nfs: commencing msieve filtering
01/09/15 08:46:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 08:47:41 v1.34.3, nfs: commencing msieve filtering
01/09/15 08:48:30 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 08:50:10 v1.34.3, nfs: commencing msieve sqrt
01/09/15 08:50:56 v1.34.3, prp49 = 9210564102271116063797350983078805833893330887583
01/09/15 08:50:56 v1.34.3, prp51 = 462701751542797610890753187356948506995170152920701
01/09/15 08:50:56 v1.34.3, NFS elapsed time = 1642.6781 seconds.
01/09/15 08:50:56 v1.34.3, 
01/09/15 08:50:56 v1.34.3, 
01/09/15 08:50:56 v1.34.3, Total factoring time = 1642.7000 seconds
--
Fri Jan  9 08:45:41 2015  
Fri Jan  9 08:45:41 2015  commencing relation filtering
Fri Jan  9 08:45:41 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 08:45:41 2015  commencing duplicate removal, pass 1
Fri Jan  9 08:45:54 2015  found 426545 hash collisions in 4620504 relations
Fri Jan  9 08:45:57 2015  added 155463 free relations
Fri Jan  9 08:45:57 2015  commencing duplicate removal, pass 2
Fri Jan  9 08:46:00 2015  found 180011 duplicates and 4595956 unique relations
Fri Jan  9 08:46:00 2015  memory use: 20.6 MB
Fri Jan  9 08:46:00 2015  reading ideals above 100000
Fri Jan  9 08:46:00 2015  commencing singleton removal, initial pass
Fri Jan  9 08:46:18 2015  memory use: 172.2 MB
Fri Jan  9 08:46:18 2015  reading all ideals from disk
Fri Jan  9 08:46:18 2015  memory use: 142.4 MB
Fri Jan  9 08:46:18 2015  keeping 5304028 ideals with weight <= 200, target excess is 41838
Fri Jan  9 08:46:18 2015  commencing in-memory singleton removal
Fri Jan  9 08:46:18 2015  begin with 4595956 relations and 5304028 unique ideals
Fri Jan  9 08:46:19 2015  reduce to 1310163 relations and 1262255 ideals in 20 passes
Fri Jan  9 08:46:19 2015  max relations containing the same ideal: 83
Fri Jan  9 08:47:41 2015  
Fri Jan  9 08:47:41 2015  commencing relation filtering
Fri Jan  9 08:47:41 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 08:47:41 2015  commencing duplicate removal, pass 1
Fri Jan  9 08:47:55 2015  found 500765 hash collisions in 5102415 relations
Fri Jan  9 08:47:58 2015  added 1398 free relations
Fri Jan  9 08:47:58 2015  commencing duplicate removal, pass 2
Fri Jan  9 08:48:02 2015  found 203806 duplicates and 4900007 unique relations
Fri Jan  9 08:48:02 2015  memory use: 20.6 MB
Fri Jan  9 08:48:02 2015  reading ideals above 100000
Fri Jan  9 08:48:02 2015  commencing singleton removal, initial pass
Fri Jan  9 08:48:20 2015  memory use: 172.2 MB
Fri Jan  9 08:48:21 2015  reading all ideals from disk
Fri Jan  9 08:48:21 2015  memory use: 151.9 MB
Fri Jan  9 08:48:21 2015  keeping 5443502 ideals with weight <= 200, target excess is 44482
Fri Jan  9 08:48:21 2015  commencing in-memory singleton removal
Fri Jan  9 08:48:21 2015  begin with 4900007 relations and 5443502 unique ideals
Fri Jan  9 08:48:23 2015  reduce to 1684494 relations and 1540038 ideals in 17 passes
Fri Jan  9 08:48:23 2015  max relations containing the same ideal: 99
Fri Jan  9 08:48:23 2015  removing 345760 relations and 299332 ideals in 46428 cliques
Fri Jan  9 08:48:23 2015  commencing in-memory singleton removal
Fri Jan  9 08:48:23 2015  begin with 1338734 relations and 1540038 unique ideals
Fri Jan  9 08:48:23 2015  reduce to 1277626 relations and 1177196 ideals in 11 passes
Fri Jan  9 08:48:23 2015  max relations containing the same ideal: 85
Fri Jan  9 08:48:24 2015  removing 257770 relations and 211342 ideals in 46428 cliques
Fri Jan  9 08:48:24 2015  commencing in-memory singleton removal
Fri Jan  9 08:48:24 2015  begin with 1019856 relations and 1177196 unique ideals
Fri Jan  9 08:48:24 2015  reduce to 973696 relations and 917867 ideals in 13 passes
Fri Jan  9 08:48:24 2015  max relations containing the same ideal: 70
Fri Jan  9 08:48:24 2015  relations with 0 large ideals: 699
Fri Jan  9 08:48:24 2015  relations with 1 large ideals: 6043
Fri Jan  9 08:48:24 2015  relations with 2 large ideals: 36636
Fri Jan  9 08:48:24 2015  relations with 3 large ideals: 133199
Fri Jan  9 08:48:24 2015  relations with 4 large ideals: 265562
Fri Jan  9 08:48:24 2015  relations with 5 large ideals: 298480
Fri Jan  9 08:48:24 2015  relations with 6 large ideals: 171791
Fri Jan  9 08:48:24 2015  relations with 7+ large ideals: 61286
Fri Jan  9 08:48:24 2015  commencing 2-way merge
Fri Jan  9 08:48:24 2015  reduce to 543605 relation sets and 487777 unique ideals
Fri Jan  9 08:48:24 2015  ignored 1 oversize relation sets
Fri Jan  9 08:48:24 2015  commencing full merge
Fri Jan  9 08:48:28 2015  memory use: 49.6 MB
Fri Jan  9 08:48:28 2015  found 253327 cycles, need 243977
Fri Jan  9 08:48:28 2015  weight of 243977 cycles is about 17342940 (71.08/cycle)
Fri Jan  9 08:48:28 2015  distribution of cycle lengths:
Fri Jan  9 08:48:28 2015  1 relations: 24086
Fri Jan  9 08:48:28 2015  2 relations: 24033
Fri Jan  9 08:48:28 2015  3 relations: 23746
Fri Jan  9 08:48:28 2015  4 relations: 22538
Fri Jan  9 08:48:28 2015  5 relations: 20845
Fri Jan  9 08:48:28 2015  6 relations: 19205
Fri Jan  9 08:48:28 2015  7 relations: 17192
Fri Jan  9 08:48:28 2015  8 relations: 15229
Fri Jan  9 08:48:28 2015  9 relations: 13691
Fri Jan  9 08:48:28 2015  10+ relations: 63412
Fri Jan  9 08:48:28 2015  heaviest cycle: 23 relations
Fri Jan  9 08:48:28 2015  commencing cycle optimization
Fri Jan  9 08:48:28 2015  start with 1650098 relations
Fri Jan  9 08:48:30 2015  pruned 39376 relations
Fri Jan  9 08:48:30 2015  memory use: 53.8 MB
Fri Jan  9 08:48:30 2015  distribution of cycle lengths:
Fri Jan  9 08:48:30 2015  1 relations: 24086
Fri Jan  9 08:48:30 2015  2 relations: 24516
Fri Jan  9 08:48:30 2015  3 relations: 24544
Fri Jan  9 08:48:30 2015  4 relations: 23018
Fri Jan  9 08:48:30 2015  5 relations: 21481
Fri Jan  9 08:48:30 2015  6 relations: 19583
Fri Jan  9 08:48:30 2015  7 relations: 17446
Fri Jan  9 08:48:30 2015  8 relations: 15514
Fri Jan  9 08:48:30 2015  9 relations: 13755
Fri Jan  9 08:48:30 2015  10+ relations: 60034
Fri Jan  9 08:48:30 2015  heaviest cycle: 23 relations
Fri Jan  9 08:48:30 2015  RelProcTime: 49
Fri Jan  9 08:48:30 2015  
Fri Jan  9 08:48:30 2015  commencing linear algebra
Fri Jan  9 08:48:30 2015  read 243977 cycles
Fri Jan  9 08:48:30 2015  cycles contain 892311 unique relations
Fri Jan  9 08:48:35 2015  read 892311 relations
Fri Jan  9 08:48:35 2015  using 20 quadratic characters above 67108754
Fri Jan  9 08:48:38 2015  building initial matrix
Fri Jan  9 08:48:42 2015  memory use: 107.1 MB
Fri Jan  9 08:48:42 2015  read 243977 cycles
Fri Jan  9 08:48:42 2015  matrix is 243787 x 243977 (73.6 MB) with weight 23272763 (95.39/col)
Fri Jan  9 08:48:42 2015  sparse part has weight 16599248 (68.04/col)
Fri Jan  9 08:48:43 2015  filtering completed in 2 passes
Fri Jan  9 08:48:43 2015  matrix is 242548 x 242736 (73.4 MB) with weight 23208480 (95.61/col)
Fri Jan  9 08:48:43 2015  sparse part has weight 16571027 (68.27/col)
Fri Jan  9 08:48:43 2015  matrix starts at (0, 0)
Fri Jan  9 08:48:43 2015  matrix is 242548 x 242736 (73.4 MB) with weight 23208480 (95.61/col)
Fri Jan  9 08:48:43 2015  sparse part has weight 16571027 (68.27/col)
Fri Jan  9 08:48:43 2015  saving the first 48 matrix rows for later
Fri Jan  9 08:48:43 2015  matrix includes 64 packed rows
Fri Jan  9 08:48:44 2015  matrix is 242500 x 242736 (70.7 MB) with weight 18522944 (76.31/col)
Fri Jan  9 08:48:44 2015  sparse part has weight 16093654 (66.30/col)
Fri Jan  9 08:48:44 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 08:48:44 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 08:48:44 2015  memory use: 66.1 MB
Fri Jan  9 08:48:48 2015  linear algebra at 5.0%, ETA 0h 1m
Fri Jan  9 08:50:09 2015  lanczos halted after 3836 iterations (dim = 242499)
Fri Jan  9 08:50:10 2015  recovered 34 nontrivial dependencies
Fri Jan  9 08:50:10 2015  BLanczosTime: 100
Fri Jan  9 08:50:10 2015  
Fri Jan  9 08:50:10 2015  commencing square root phase
Fri Jan  9 08:50:10 2015  reading relations for dependency 1
Fri Jan  9 08:50:10 2015  read 120982 cycles
Fri Jan  9 08:50:10 2015  cycles contain 444058 unique relations
Fri Jan  9 08:50:14 2015  read 444058 relations
Fri Jan  9 08:50:14 2015  multiplying 444058 relations
Fri Jan  9 08:50:21 2015  multiply complete, coefficients have about 18.27 million bits
Fri Jan  9 08:50:22 2015  initial square root is modulo 177467
Fri Jan  9 08:50:33 2015  GCD is N, no factor found
Fri Jan  9 08:50:33 2015  reading relations for dependency 2
Fri Jan  9 08:50:33 2015  read 121578 cycles
Fri Jan  9 08:50:33 2015  cycles contain 446348 unique relations
Fri Jan  9 08:50:37 2015  read 446348 relations
Fri Jan  9 08:50:38 2015  multiplying 446348 relations
Fri Jan  9 08:50:45 2015  multiply complete, coefficients have about 18.37 million bits
Fri Jan  9 08:50:46 2015  initial square root is modulo 188857
Fri Jan  9 08:50:56 2015  sqrtTime: 46
--
n: 4261744142818060669112158711947432145041155879601555445358489511544574077873158262251692664144555683
skew: 1407841.07
c0: 3044161166547673701074566548
c1: 6741924007040077253644
c2: -4798994399154671
c3: -3959895870
c4: 2604
Y0: -1131064390984924875650345
Y1: 5011450167491
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10156-5479

c144

name 名前Cyp
date 日付January 14, 2015 01:47:17 UTC 2015 年 1 月 14 日 (水) 10 時 47 分 17 秒 (日本時間)
composite number 合成数
196742156612204336766402976492454947169845988166300996899401435744895120447839189897494279557229345043896278511472227009485929702189864701943697<144>
prime factors 素因数
8407834670832334399530067335567792590543<40>
23399860286825529135372565608121243183766076529684999067790289709687397071907043756370040467801911755679<104>
factorization results 素因数分解の結果
01/13/15 23:36:38 v1.34.3, 
01/13/15 23:36:38 v1.34.3, ****************************
01/13/15 23:36:38 v1.34.3, Starting factorization of 196742156612204336766402976492454947169845988166300996899401435744895120447839189897494279557229345043896278511472227009485929702189864701943697
01/13/15 23:36:38 v1.34.3, using pretesting plan: none
01/13/15 23:36:38 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/13/15 23:36:38 v1.34.3, ****************************
01/13/15 23:36:38 v1.34.3, nfs: commencing nfs on c144: 196742156612204336766402976492454947169845988166300996899401435744895120447839189897494279557229345043896278511472227009485929702189864701943697
01/13/15 23:36:38 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/13/15 23:36:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 23:40:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
[40 lines snipped]
01/14/15 02:31:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 02:35:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 02:40:11 v1.34.3, nfs: commencing msieve filtering
01/14/15 02:41:56 v1.34.3, nfs: commencing msieve linear algebra
01/14/15 02:46:42 v1.34.3, nfs: commencing msieve sqrt
01/14/15 02:47:16 v1.34.3, prp40 = 8407834670832334399530067335567792590543
01/14/15 02:47:16 v1.34.3, prp104 = 23399860286825529135372565608121243183766076529684999067790289709687397071907043756370040467801911755679
01/14/15 02:47:16 v1.34.3, NFS elapsed time = 11438.2264 seconds.
01/14/15 02:47:16 v1.34.3, 
01/14/15 02:47:16 v1.34.3, 
01/14/15 02:47:16 v1.34.3, Total factoring time = 11438.2274 seconds
--
Wed Jan 14 02:40:11 2015  
Wed Jan 14 02:40:11 2015  commencing relation filtering
Wed Jan 14 02:40:11 2015  estimated available RAM is 15987.3 MB
Wed Jan 14 02:40:11 2015  commencing duplicate removal, pass 1
Wed Jan 14 02:40:38 2015  found 1412035 hash collisions in 10126498 relations
Wed Jan 14 02:40:46 2015  added 359937 free relations
Wed Jan 14 02:40:46 2015  commencing duplicate removal, pass 2
Wed Jan 14 02:40:54 2015  found 979754 duplicates and 9506681 unique relations
Wed Jan 14 02:40:54 2015  memory use: 41.3 MB
Wed Jan 14 02:40:54 2015  reading ideals above 100000
Wed Jan 14 02:40:54 2015  commencing singleton removal, initial pass
Wed Jan 14 02:41:35 2015  memory use: 188.2 MB
Wed Jan 14 02:41:35 2015  reading all ideals from disk
Wed Jan 14 02:41:35 2015  memory use: 331.4 MB
Wed Jan 14 02:41:35 2015  keeping 9738801 ideals with weight <= 200, target excess is 51302
Wed Jan 14 02:41:36 2015  commencing in-memory singleton removal
Wed Jan 14 02:41:36 2015  begin with 9506681 relations and 9738801 unique ideals
Wed Jan 14 02:41:39 2015  reduce to 4586978 relations and 3703962 ideals in 11 passes
Wed Jan 14 02:41:39 2015  max relations containing the same ideal: 123
Wed Jan 14 02:41:40 2015  removing 1314281 relations and 914281 ideals in 400000 cliques
Wed Jan 14 02:41:40 2015  commencing in-memory singleton removal
Wed Jan 14 02:41:40 2015  begin with 3272697 relations and 3703962 unique ideals
Wed Jan 14 02:41:41 2015  reduce to 3026063 relations and 2516950 ideals in 8 passes
Wed Jan 14 02:41:41 2015  max relations containing the same ideal: 97
Wed Jan 14 02:41:42 2015  removing 1111781 relations and 711781 ideals in 400000 cliques
Wed Jan 14 02:41:42 2015  commencing in-memory singleton removal
Wed Jan 14 02:41:42 2015  begin with 1914282 relations and 2516950 unique ideals
Wed Jan 14 02:41:43 2015  reduce to 1685539 relations and 1547285 ideals in 9 passes
Wed Jan 14 02:41:43 2015  max relations containing the same ideal: 68
Wed Jan 14 02:41:43 2015  removing 300046 relations and 221303 ideals in 78743 cliques
Wed Jan 14 02:41:43 2015  commencing in-memory singleton removal
Wed Jan 14 02:41:43 2015  begin with 1385493 relations and 1547285 unique ideals
Wed Jan 14 02:41:43 2015  reduce to 1341456 relations and 1279833 ideals in 7 passes
Wed Jan 14 02:41:43 2015  max relations containing the same ideal: 59
Wed Jan 14 02:41:44 2015  relations with 0 large ideals: 1139
Wed Jan 14 02:41:44 2015  relations with 1 large ideals: 682
Wed Jan 14 02:41:44 2015  relations with 2 large ideals: 8686
Wed Jan 14 02:41:44 2015  relations with 3 large ideals: 57673
Wed Jan 14 02:41:44 2015  relations with 4 large ideals: 189193
Wed Jan 14 02:41:44 2015  relations with 5 large ideals: 347196
Wed Jan 14 02:41:44 2015  relations with 6 large ideals: 385677
Wed Jan 14 02:41:44 2015  relations with 7+ large ideals: 351210
Wed Jan 14 02:41:44 2015  commencing 2-way merge
Wed Jan 14 02:41:44 2015  reduce to 831440 relation sets and 769817 unique ideals
Wed Jan 14 02:41:44 2015  commencing full merge
Wed Jan 14 02:41:52 2015  memory use: 100.2 MB
Wed Jan 14 02:41:52 2015  found 431874 cycles, need 422017
Wed Jan 14 02:41:52 2015  weight of 422017 cycles is about 29644489 (70.24/cycle)
Wed Jan 14 02:41:52 2015  distribution of cycle lengths:
Wed Jan 14 02:41:52 2015  1 relations: 38460
Wed Jan 14 02:41:52 2015  2 relations: 41787
Wed Jan 14 02:41:52 2015  3 relations: 45384
Wed Jan 14 02:41:52 2015  4 relations: 45401
Wed Jan 14 02:41:52 2015  5 relations: 44174
Wed Jan 14 02:41:52 2015  6 relations: 41205
Wed Jan 14 02:41:52 2015  7 relations: 36341
Wed Jan 14 02:41:52 2015  8 relations: 31121
Wed Jan 14 02:41:52 2015  9 relations: 25481
Wed Jan 14 02:41:52 2015  10+ relations: 72663
Wed Jan 14 02:41:52 2015  heaviest cycle: 20 relations
Wed Jan 14 02:41:52 2015  commencing cycle optimization
Wed Jan 14 02:41:53 2015  start with 2510446 relations
Wed Jan 14 02:41:55 2015  pruned 75834 relations
Wed Jan 14 02:41:55 2015  memory use: 80.0 MB
Wed Jan 14 02:41:55 2015  distribution of cycle lengths:
Wed Jan 14 02:41:55 2015  1 relations: 38460
Wed Jan 14 02:41:55 2015  2 relations: 42734
Wed Jan 14 02:41:55 2015  3 relations: 47086
Wed Jan 14 02:41:55 2015  4 relations: 46840
Wed Jan 14 02:41:55 2015  5 relations: 45903
Wed Jan 14 02:41:55 2015  6 relations: 42437
Wed Jan 14 02:41:55 2015  7 relations: 37486
Wed Jan 14 02:41:55 2015  8 relations: 31606
Wed Jan 14 02:41:55 2015  9 relations: 25198
Wed Jan 14 02:41:55 2015  10+ relations: 64267
Wed Jan 14 02:41:55 2015  heaviest cycle: 19 relations
Wed Jan 14 02:41:56 2015  RelProcTime: 105
Wed Jan 14 02:41:56 2015  
Wed Jan 14 02:41:56 2015  commencing linear algebra
Wed Jan 14 02:41:56 2015  read 422017 cycles
Wed Jan 14 02:41:56 2015  cycles contain 1293360 unique relations
Wed Jan 14 02:42:05 2015  read 1293360 relations
Wed Jan 14 02:42:06 2015  using 20 quadratic characters above 134213774
Wed Jan 14 02:42:10 2015  building initial matrix
Wed Jan 14 02:42:16 2015  memory use: 162.4 MB
Wed Jan 14 02:42:16 2015  read 422017 cycles
Wed Jan 14 02:42:16 2015  matrix is 421840 x 422017 (125.5 MB) with weight 37303486 (88.39/col)
Wed Jan 14 02:42:16 2015  sparse part has weight 28250068 (66.94/col)
Wed Jan 14 02:42:18 2015  filtering completed in 2 passes
Wed Jan 14 02:42:18 2015  matrix is 421677 x 421854 (125.5 MB) with weight 37296062 (88.41/col)
Wed Jan 14 02:42:18 2015  sparse part has weight 28246273 (66.96/col)
Wed Jan 14 02:42:19 2015  matrix starts at (0, 0)
Wed Jan 14 02:42:19 2015  matrix is 421677 x 421854 (125.5 MB) with weight 37296062 (88.41/col)
Wed Jan 14 02:42:19 2015  sparse part has weight 28246273 (66.96/col)
Wed Jan 14 02:42:19 2015  saving the first 48 matrix rows for later
Wed Jan 14 02:42:19 2015  matrix includes 64 packed rows
Wed Jan 14 02:42:19 2015  matrix is 421629 x 421854 (117.6 MB) with weight 29289470 (69.43/col)
Wed Jan 14 02:42:19 2015  sparse part has weight 26614646 (63.09/col)
Wed Jan 14 02:42:19 2015  using block size 65536 for processor cache size 8192 kB
Wed Jan 14 02:42:20 2015  commencing Lanczos iteration (8 threads)
Wed Jan 14 02:42:20 2015  memory use: 113.6 MB
Wed Jan 14 02:42:27 2015  linear algebra at 2.9%, ETA 0h 3m
Wed Jan 14 02:46:42 2015  lanczos halted after 6668 iterations (dim = 421628)
Wed Jan 14 02:46:42 2015  recovered 37 nontrivial dependencies
Wed Jan 14 02:46:42 2015  BLanczosTime: 286
Wed Jan 14 02:46:42 2015  
Wed Jan 14 02:46:42 2015  commencing square root phase
Wed Jan 14 02:46:42 2015  reading relations for dependency 1
Wed Jan 14 02:46:42 2015  read 210623 cycles
Wed Jan 14 02:46:42 2015  cycles contain 645214 unique relations
Wed Jan 14 02:46:50 2015  read 645214 relations
Wed Jan 14 02:46:51 2015  multiplying 645214 relations
Wed Jan 14 02:47:02 2015  multiply complete, coefficients have about 17.89 million bits
Wed Jan 14 02:47:02 2015  initial square root is modulo 137491
Wed Jan 14 02:47:16 2015  sqrtTime: 34
--
n: 196742156612204336766402976492454947169845988166300996899401435744895120447839189897494279557229345043896278511472227009485929702189864701943697
m: 10000000000000000000000000000000
deg: 5
c5: 70
c0: -547
skew: 1.51
# Murphy_E = 5.806e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:04:15 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 15 秒 (日本時間)

7×10158-5479

c102

name 名前Cyp
date 日付January 9, 2015 08:25:18 UTC 2015 年 1 月 9 日 (金) 17 時 25 分 18 秒 (日本時間)
composite number 合成数
982760852034659206836983812605383282719308638389314577096917178140823841655565082079748010783028086869<102>
prime factors 素因数
374832101759401153483712807713442376389<39>
2621869491491627849436743094499740969489139425599582845552394321<64>
factorization results 素因数分解の結果
01/09/15 08:51:01 v1.34.3, 
01/09/15 08:51:01 v1.34.3, ****************************
01/09/15 08:51:01 v1.34.3, Starting factorization of 982760852034659206836983812605383282719308638389314577096917178140823841655565082079748010783028086869
01/09/15 08:51:01 v1.34.3, using pretesting plan: none
01/09/15 08:51:01 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 08:51:01 v1.34.3, ****************************
01/09/15 08:51:01 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C102
01/09/15 08:51:01 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C102
01/09/15 08:51:01 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C102
01/09/15 08:51:01 v1.34.3, final ECM pretested depth: 0.00
01/09/15 08:51:01 v1.34.3, scheduler: switching to sieve method
01/09/15 08:51:01 v1.34.3, nfs: commencing nfs on c102: 982760852034659206836983812605383282719308638389314577096917178140823841655565082079748010783028086869
01/09/15 08:51:01 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 08:51:01 v1.34.3, nfs: setting deadline of 188 seconds
01/09/15 08:54:33 v1.34.3, nfs: completed 51 ranges of size 250 in 211.1222 seconds
01/09/15 08:54:33 v1.34.3, nfs: best poly = # norm 5.543347e-14 alpha -4.790045 e 8.557e-09 rroots 2
01/09/15 08:54:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 08:55:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
[13 lines snipped]
01/09/15 09:14:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 09:15:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 09:17:16 v1.34.3, nfs: commencing msieve filtering
01/09/15 09:17:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 09:19:24 v1.34.3, nfs: commencing msieve filtering
01/09/15 09:20:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 09:21:30 v1.34.3, nfs: commencing msieve filtering
01/09/15 09:22:24 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 09:24:43 v1.34.3, nfs: commencing msieve sqrt
01/09/15 09:25:11 v1.34.3, prp64 = 2621869491491627849436743094499740969489139425599582845552394321
01/09/15 09:25:11 v1.34.3, prp39 = 374832101759401153483712807713442376389
01/09/15 09:25:11 v1.34.3, NFS elapsed time = 2049.7218 seconds.
01/09/15 09:25:11 v1.34.3, 
01/09/15 09:25:11 v1.34.3, 
01/09/15 09:25:11 v1.34.3, Total factoring time = 2049.7438 seconds
--
Fri Jan  9 09:17:16 2015  
Fri Jan  9 09:17:16 2015  commencing relation filtering
Fri Jan  9 09:17:16 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 09:17:16 2015  commencing duplicate removal, pass 1
Fri Jan  9 09:17:29 2015  found 426731 hash collisions in 4539795 relations
Fri Jan  9 09:17:33 2015  added 156016 free relations
Fri Jan  9 09:17:33 2015  commencing duplicate removal, pass 2
Fri Jan  9 09:17:37 2015  found 191055 duplicates and 4504756 unique relations
Fri Jan  9 09:17:37 2015  memory use: 20.6 MB
Fri Jan  9 09:17:37 2015  reading ideals above 100000
Fri Jan  9 09:17:37 2015  commencing singleton removal, initial pass
Fri Jan  9 09:17:54 2015  memory use: 172.2 MB
Fri Jan  9 09:17:54 2015  reading all ideals from disk
Fri Jan  9 09:17:54 2015  memory use: 141.6 MB
Fri Jan  9 09:17:54 2015  keeping 5350408 ideals with weight <= 200, target excess is 28552
Fri Jan  9 09:17:54 2015  commencing in-memory singleton removal
Fri Jan  9 09:17:55 2015  begin with 4504756 relations and 5350408 unique ideals
Fri Jan  9 09:17:56 2015  reduce to 1079861 relations and 1119949 ideals in 27 passes
Fri Jan  9 09:17:56 2015  max relations containing the same ideal: 74
Fri Jan  9 09:19:24 2015  
Fri Jan  9 09:19:24 2015  commencing relation filtering
Fri Jan  9 09:19:24 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 09:19:24 2015  commencing duplicate removal, pass 1
Fri Jan  9 09:19:38 2015  found 493108 hash collisions in 4976098 relations
Fri Jan  9 09:19:41 2015  added 1187 free relations
Fri Jan  9 09:19:41 2015  commencing duplicate removal, pass 2
Fri Jan  9 09:19:45 2015  found 212886 duplicates and 4764399 unique relations
Fri Jan  9 09:19:45 2015  memory use: 20.6 MB
Fri Jan  9 09:19:45 2015  reading ideals above 100000
Fri Jan  9 09:19:45 2015  commencing singleton removal, initial pass
Fri Jan  9 09:20:03 2015  memory use: 172.2 MB
Fri Jan  9 09:20:04 2015  reading all ideals from disk
Fri Jan  9 09:20:04 2015  memory use: 149.9 MB
Fri Jan  9 09:20:04 2015  keeping 5473258 ideals with weight <= 200, target excess is 30503
Fri Jan  9 09:20:04 2015  commencing in-memory singleton removal
Fri Jan  9 09:20:04 2015  begin with 4764399 relations and 5473258 unique ideals
Fri Jan  9 09:20:06 2015  reduce to 1423243 relations and 1393016 ideals in 20 passes
Fri Jan  9 09:20:06 2015  max relations containing the same ideal: 89
Fri Jan  9 09:21:30 2015  
Fri Jan  9 09:21:30 2015  commencing relation filtering
Fri Jan  9 09:21:30 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 09:21:30 2015  commencing duplicate removal, pass 1
Fri Jan  9 09:21:46 2015  found 541010 hash collisions in 5240069 relations
Fri Jan  9 09:21:49 2015  added 1006 free relations
Fri Jan  9 09:21:49 2015  commencing duplicate removal, pass 2
Fri Jan  9 09:21:53 2015  found 234209 duplicates and 5006866 unique relations
Fri Jan  9 09:21:53 2015  memory use: 20.6 MB
Fri Jan  9 09:21:53 2015  reading ideals above 100000
Fri Jan  9 09:21:53 2015  commencing singleton removal, initial pass
Fri Jan  9 09:22:12 2015  memory use: 172.2 MB
Fri Jan  9 09:22:13 2015  reading all ideals from disk
Fri Jan  9 09:22:13 2015  memory use: 157.5 MB
Fri Jan  9 09:22:13 2015  keeping 5581301 ideals with weight <= 200, target excess is 32529
Fri Jan  9 09:22:13 2015  commencing in-memory singleton removal
Fri Jan  9 09:22:13 2015  begin with 5006866 relations and 5581301 unique ideals
Fri Jan  9 09:22:15 2015  reduce to 1735276 relations and 1626261 ideals in 18 passes
Fri Jan  9 09:22:15 2015  max relations containing the same ideal: 98
Fri Jan  9 09:22:15 2015  removing 306100 relations and 270459 ideals in 35641 cliques
Fri Jan  9 09:22:15 2015  commencing in-memory singleton removal
Fri Jan  9 09:22:15 2015  begin with 1429176 relations and 1626261 unique ideals
Fri Jan  9 09:22:15 2015  reduce to 1381304 relations and 1306522 ideals in 11 passes
Fri Jan  9 09:22:15 2015  max relations containing the same ideal: 83
Fri Jan  9 09:22:16 2015  removing 226770 relations and 191129 ideals in 35641 cliques
Fri Jan  9 09:22:16 2015  commencing in-memory singleton removal
Fri Jan  9 09:22:16 2015  begin with 1154534 relations and 1306522 unique ideals
Fri Jan  9 09:22:16 2015  reduce to 1121097 relations and 1081049 ideals in 9 passes
Fri Jan  9 09:22:16 2015  max relations containing the same ideal: 73
Fri Jan  9 09:22:16 2015  relations with 0 large ideals: 511
Fri Jan  9 09:22:16 2015  relations with 1 large ideals: 1584
Fri Jan  9 09:22:16 2015  relations with 2 large ideals: 13822
Fri Jan  9 09:22:16 2015  relations with 3 large ideals: 65154
Fri Jan  9 09:22:16 2015  relations with 4 large ideals: 179853
Fri Jan  9 09:22:16 2015  relations with 5 large ideals: 311759
Fri Jan  9 09:22:16 2015  relations with 6 large ideals: 302254
Fri Jan  9 09:22:16 2015  relations with 7+ large ideals: 246160
Fri Jan  9 09:22:16 2015  commencing 2-way merge
Fri Jan  9 09:22:16 2015  reduce to 627577 relation sets and 587531 unique ideals
Fri Jan  9 09:22:16 2015  ignored 2 oversize relation sets
Fri Jan  9 09:22:16 2015  commencing full merge
Fri Jan  9 09:22:21 2015  memory use: 62.1 MB
Fri Jan  9 09:22:21 2015  found 295256 cycles, need 289731
Fri Jan  9 09:22:21 2015  weight of 289731 cycles is about 20487828 (70.71/cycle)
Fri Jan  9 09:22:21 2015  distribution of cycle lengths:
Fri Jan  9 09:22:21 2015  1 relations: 30387
Fri Jan  9 09:22:21 2015  2 relations: 29267
Fri Jan  9 09:22:21 2015  3 relations: 28667
Fri Jan  9 09:22:21 2015  4 relations: 27087
Fri Jan  9 09:22:21 2015  5 relations: 24830
Fri Jan  9 09:22:21 2015  6 relations: 22272
Fri Jan  9 09:22:21 2015  7 relations: 19375
Fri Jan  9 09:22:21 2015  8 relations: 17290
Fri Jan  9 09:22:21 2015  9 relations: 15720
Fri Jan  9 09:22:21 2015  10+ relations: 74836
Fri Jan  9 09:22:21 2015  heaviest cycle: 25 relations
Fri Jan  9 09:22:21 2015  commencing cycle optimization
Fri Jan  9 09:22:22 2015  start with 1966203 relations
Fri Jan  9 09:22:23 2015  pruned 44735 relations
Fri Jan  9 09:22:23 2015  memory use: 64.0 MB
Fri Jan  9 09:22:23 2015  distribution of cycle lengths:
Fri Jan  9 09:22:23 2015  1 relations: 30387
Fri Jan  9 09:22:23 2015  2 relations: 29875
Fri Jan  9 09:22:23 2015  3 relations: 29655
Fri Jan  9 09:22:23 2015  4 relations: 27669
Fri Jan  9 09:22:23 2015  5 relations: 25449
Fri Jan  9 09:22:23 2015  6 relations: 22480
Fri Jan  9 09:22:23 2015  7 relations: 19783
Fri Jan  9 09:22:23 2015  8 relations: 17340
Fri Jan  9 09:22:23 2015  9 relations: 15768
Fri Jan  9 09:22:23 2015  10+ relations: 71325
Fri Jan  9 09:22:23 2015  heaviest cycle: 25 relations
Fri Jan  9 09:22:24 2015  RelProcTime: 54
Fri Jan  9 09:22:24 2015  
Fri Jan  9 09:22:24 2015  commencing linear algebra
Fri Jan  9 09:22:24 2015  read 289731 cycles
Fri Jan  9 09:22:24 2015  cycles contain 1061709 unique relations
Fri Jan  9 09:22:29 2015  read 1061709 relations
Fri Jan  9 09:22:30 2015  using 20 quadratic characters above 67106114
Fri Jan  9 09:22:34 2015  building initial matrix
Fri Jan  9 09:22:39 2015  memory use: 127.2 MB
Fri Jan  9 09:22:39 2015  read 289731 cycles
Fri Jan  9 09:22:39 2015  matrix is 289556 x 289731 (87.0 MB) with weight 27799301 (95.95/col)
Fri Jan  9 09:22:39 2015  sparse part has weight 19610315 (67.68/col)
Fri Jan  9 09:22:40 2015  filtering completed in 2 passes
Fri Jan  9 09:22:40 2015  matrix is 288695 x 288874 (86.9 MB) with weight 27758004 (96.09/col)
Fri Jan  9 09:22:40 2015  sparse part has weight 19595058 (67.83/col)
Fri Jan  9 09:22:40 2015  matrix starts at (0, 0)
Fri Jan  9 09:22:40 2015  matrix is 288695 x 288874 (86.9 MB) with weight 27758004 (96.09/col)
Fri Jan  9 09:22:40 2015  sparse part has weight 19595058 (67.83/col)
Fri Jan  9 09:22:40 2015  saving the first 48 matrix rows for later
Fri Jan  9 09:22:40 2015  matrix includes 64 packed rows
Fri Jan  9 09:22:40 2015  matrix is 288647 x 288874 (84.0 MB) with weight 21972675 (76.06/col)
Fri Jan  9 09:22:40 2015  sparse part has weight 19120781 (66.19/col)
Fri Jan  9 09:22:40 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 09:22:41 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 09:22:41 2015  memory use: 79.2 MB
Fri Jan  9 09:22:46 2015  linear algebra at 4.2%, ETA 0h 1m
Fri Jan  9 09:24:43 2015  lanczos halted after 4567 iterations (dim = 288647)
Fri Jan  9 09:24:43 2015  recovered 33 nontrivial dependencies
Fri Jan  9 09:24:43 2015  BLanczosTime: 139
Fri Jan  9 09:24:43 2015  
Fri Jan  9 09:24:43 2015  commencing square root phase
Fri Jan  9 09:24:43 2015  reading relations for dependency 1
Fri Jan  9 09:24:43 2015  read 144158 cycles
Fri Jan  9 09:24:43 2015  cycles contain 529862 unique relations
Fri Jan  9 09:24:48 2015  read 529862 relations
Fri Jan  9 09:24:49 2015  multiplying 529862 relations
Fri Jan  9 09:24:58 2015  multiply complete, coefficients have about 22.43 million bits
Fri Jan  9 09:24:58 2015  initial square root is modulo 2760473
Fri Jan  9 09:25:11 2015  sqrtTime: 28
--
n: 982760852034659206836983812605383282719308638389314577096917178140823841655565082079748010783028086869
skew: 1563067.94
c0: 7415575472566080844033759581
c1: -45757585592322388935
c2: -16626954232754737
c3: 6276905183
c4: 3948
Y0: -3972076501455073541352872
Y1: 1650041535623
rlim: 2080000
alim: 2080000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10160-5479

c99

name 名前Serge Batalov
date 日付January 9, 2015 01:00:37 UTC 2015 年 1 月 9 日 (金) 10 時 0 分 37 秒 (日本時間)
composite number 合成数
347645708477921326748738646624708783035496599737559422752084499729779133856229640562354801450474699<99>
prime factors 素因数
111725692726549851978679240228030691168594818937<48>
3111600384781582089183916728057308978195576064848227<52>
factorization results 素因数分解の結果
Divisors found:
 r1=111725692726549851978679240228030691168594818937 (pp48)
 r2=3111600384781582089183916728057308978195576064848227 (pp52)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 1.60 hours.
Scaled time: 3.84 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  347645708477921326748738646624708783035496599737559422752084499729779133856229640562354801450474699
skew:  7304147.83
Y0:  -1640513122375402244050887
Y1:  4911610961587
c0:  -21358651845634302162952906750
c1:  33735733174588105645205
c2:  9749388769022884
c3:  -856428428
c4:  48
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [750000, 1170001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 196816 x 197064
Total sieving time: 1.52 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,98,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,46,46,2.5,2.5,70000
total time: 1.60 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10161-5479

c126

name 名前Serge Batalov
date 日付January 8, 2015 23:00:24 UTC 2015 年 1 月 9 日 (金) 8 時 0 分 24 秒 (日本時間)
composite number 合成数
750287677551411796871055513003027901147728829571183114742758775934014592477968690343259225532988662709386308724356812427004481<126>
prime factors 素因数
327634956355312193427918376629971<33>
composite cofactor 合成数の残り
2290011071766539282174360651364723439578052301950477972850295661840936859292156322673757238811<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=378956286
Step 1 took 7586ms
Step 2 took 6620ms
********** Factor found in step 2: 327634956355312193427918376629971
Found probable prime factor of 33 digits: 327634956355312193427918376629971
Composite cofactor 

c94

name 名前Serge Batalov
date 日付January 9, 2015 18:30:06 UTC 2015 年 1 月 10 日 (土) 3 時 30 分 6 秒 (日本時間)
composite number 合成数
2290011071766539282174360651364723439578052301950477972850295661840936859292156322673757238811<94>
prime factors 素因数
260351512279746717483835517328353168227543<42>
8795843172617837637647039840626367284550044253226077<52>
factorization results 素因数分解の結果
PRP42 = 260351512279746717483835517328353168227543
software ソフトウェア
yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10163-5479

c143

name 名前Maksym Voznyy
date 日付February 7, 2015 02:17:59 UTC 2015 年 2 月 7 日 (土) 11 時 17 分 59 秒 (日本時間)
composite number 合成数
24261153206107228434879858060836153164303693753038248959642720757349104874103565296606995333495947531862431403004536921557892324785493675747557<143>
prime factors 素因数
10417393965966540313036700419805573317937398108616542956873773<62>
2328908101716036508677199901942873845182242161115165372736474378987903966196973209<82>
factorization results 素因数分解の結果
Number: example8
N = 24261153206107228434879858060836153164303693753038248959642720757349104874103565296606995333495947531862431403004536921557892324785493675747557 (143 digits)
SNFS difficulty: 164 digits.
Divisors found:
r1=533430676533041177960320831644413038217233435275987999469 (pp57)
r2=10417393965966540313036700419805573317937398108616542956873773 (pp62)
r3=5430093009989847691469443628800863162615323828939017467532857013814297 (pp70)
r4=2328908101716036508677199901942873845182242161115165372736474378987903966196973209 (pp82)
Version: Msieve v. 1.51 (SVN 845)
Total time: 33.11 hours.
Factorization parameters were as follows:
n: 24261153206107228434879858060836153164303693753038248959642720757349104874103565296606995333495947531862431403004536921557892324785493675747557
m: 100000000000000000000000000000000
deg: 5
c5: 7000
c0: -547
skew: 0.60
# Murphy_E = 2.515e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 9880194
Relations: 1364938 relations
Pruned matrix : 809466 x 809691
Polynomial selection time: 0.00 hours.
Total sieving time: 29.34 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.15 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 33.11 hours.
x86 Family 6 Model 15 Stepping 6, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 4, speed: 2.66GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:04:17 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 17 秒 (日本時間)

7×10164-5479

c113

name 名前Cyp
date 日付January 11, 2015 02:35:40 UTC 2015 年 1 月 11 日 (日) 11 時 35 分 40 秒 (日本時間)
composite number 合成数
56649386989904074961359374441455355218460546676623552736768053834577881650307648149598685566704796548274501361393<113>
prime factors 素因数
385366527231768897226424216425340342416074837094981<51>
147001316893913159857874727599819846268853383764561792633035453<63>
factorization results 素因数分解の結果
01/11/15 01:21:24 v1.34.3, 
01/11/15 01:21:24 v1.34.3, ****************************
01/11/15 01:21:24 v1.34.3, Starting factorization of 56649386989904074961359374441455355218460546676623552736768053834577881650307648149598685566704796548274501361393
01/11/15 01:21:24 v1.34.3, using pretesting plan: none
01/11/15 01:21:24 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/11/15 01:21:24 v1.34.3, ****************************
01/11/15 01:21:24 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C113
01/11/15 01:21:24 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C113
01/11/15 01:21:24 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C113
01/11/15 01:21:24 v1.34.3, final ECM pretested depth: 0.00
01/11/15 01:21:24 v1.34.3, scheduler: switching to sieve method
01/11/15 01:21:24 v1.34.3, nfs: commencing nfs on c113: 56649386989904074961359374441455355218460546676623552736768053834577881650307648149598685566704796548274501361393
01/11/15 01:21:24 v1.34.3, nfs: commencing poly selection with 8 threads
01/11/15 01:21:24 v1.34.3, nfs: setting deadline of 700 seconds
01/11/15 01:33:11 v1.34.3, nfs: completed 143 ranges of size 250 in 706.7422 seconds
01/11/15 01:33:11 v1.34.3, nfs: best poly = # norm 1.018102e-10 alpha -7.917368 e 7.046e-10 rroots 3
01/11/15 01:33:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 01:38:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
[16 lines snipped]
01/11/15 03:15:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 03:21:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 03:27:09 v1.34.3, nfs: commencing msieve filtering
01/11/15 03:29:02 v1.34.3, nfs: commencing msieve linear algebra
01/11/15 03:33:44 v1.34.3, nfs: commencing msieve sqrt
01/11/15 03:35:39 v1.34.3, prp63 = 147001316893913159857874727599819846268853383764561792633035453
01/11/15 03:35:39 v1.34.3, prp51 = 385366527231768897226424216425340342416074837094981
01/11/15 03:35:39 v1.34.3, NFS elapsed time = 8054.6566 seconds.
01/11/15 03:35:39 v1.34.3, 
01/11/15 03:35:39 v1.34.3, 
01/11/15 03:35:39 v1.34.3, Total factoring time = 8054.6796 seconds
--
Sun Jan 11 03:27:09 2015  
Sun Jan 11 03:27:09 2015  commencing relation filtering
Sun Jan 11 03:27:09 2015  estimated available RAM is 15987.3 MB
Sun Jan 11 03:27:09 2015  commencing duplicate removal, pass 1
Sun Jan 11 03:27:43 2015  found 1006996 hash collisions in 10257888 relations
Sun Jan 11 03:27:52 2015  added 62219 free relations
Sun Jan 11 03:27:52 2015  commencing duplicate removal, pass 2
Sun Jan 11 03:28:00 2015  found 405304 duplicates and 9914803 unique relations
Sun Jan 11 03:28:00 2015  memory use: 41.3 MB
Sun Jan 11 03:28:00 2015  reading ideals above 100000
Sun Jan 11 03:28:00 2015  commencing singleton removal, initial pass
Sun Jan 11 03:28:44 2015  memory use: 344.5 MB
Sun Jan 11 03:28:44 2015  reading all ideals from disk
Sun Jan 11 03:28:44 2015  memory use: 337.6 MB
Sun Jan 11 03:28:45 2015  keeping 10499374 ideals with weight <= 200, target excess is 87003
Sun Jan 11 03:28:45 2015  commencing in-memory singleton removal
Sun Jan 11 03:28:46 2015  begin with 9914803 relations and 10499374 unique ideals
Sun Jan 11 03:28:49 2015  reduce to 3924273 relations and 3424123 ideals in 17 passes
Sun Jan 11 03:28:49 2015  max relations containing the same ideal: 114
Sun Jan 11 03:28:50 2015  removing 1035640 relations and 836027 ideals in 199613 cliques
Sun Jan 11 03:28:50 2015  commencing in-memory singleton removal
Sun Jan 11 03:28:50 2015  begin with 2888633 relations and 3424123 unique ideals
Sun Jan 11 03:28:51 2015  reduce to 2670700 relations and 2355283 ideals in 10 passes
Sun Jan 11 03:28:51 2015  max relations containing the same ideal: 83
Sun Jan 11 03:28:51 2015  removing 790770 relations and 591157 ideals in 199613 cliques
Sun Jan 11 03:28:52 2015  commencing in-memory singleton removal
Sun Jan 11 03:28:52 2015  begin with 1879930 relations and 2355283 unique ideals
Sun Jan 11 03:28:52 2015  reduce to 1694628 relations and 1563658 ideals in 11 passes
Sun Jan 11 03:28:52 2015  max relations containing the same ideal: 62
Sun Jan 11 03:28:53 2015  removing 185199 relations and 155153 ideals in 30046 cliques
Sun Jan 11 03:28:53 2015  commencing in-memory singleton removal
Sun Jan 11 03:28:53 2015  begin with 1509429 relations and 1563658 unique ideals
Sun Jan 11 03:28:53 2015  reduce to 1494613 relations and 1393422 ideals in 7 passes
Sun Jan 11 03:28:53 2015  max relations containing the same ideal: 59
Sun Jan 11 03:28:53 2015  relations with 0 large ideals: 810
Sun Jan 11 03:28:53 2015  relations with 1 large ideals: 10439
Sun Jan 11 03:28:53 2015  relations with 2 large ideals: 65714
Sun Jan 11 03:28:53 2015  relations with 3 large ideals: 212939
Sun Jan 11 03:28:53 2015  relations with 4 large ideals: 385419
Sun Jan 11 03:28:53 2015  relations with 5 large ideals: 413328
Sun Jan 11 03:28:53 2015  relations with 6 large ideals: 269284
Sun Jan 11 03:28:53 2015  relations with 7+ large ideals: 136680
Sun Jan 11 03:28:53 2015  commencing 2-way merge
Sun Jan 11 03:28:54 2015  reduce to 846520 relation sets and 745329 unique ideals
Sun Jan 11 03:28:54 2015  commencing full merge
Sun Jan 11 03:28:59 2015  memory use: 80.7 MB
Sun Jan 11 03:28:59 2015  found 425173 cycles, need 411529
Sun Jan 11 03:28:59 2015  weight of 411529 cycles is about 28872151 (70.16/cycle)
Sun Jan 11 03:28:59 2015  distribution of cycle lengths:
Sun Jan 11 03:28:59 2015  1 relations: 43465
Sun Jan 11 03:28:59 2015  2 relations: 41848
Sun Jan 11 03:28:59 2015  3 relations: 43547
Sun Jan 11 03:28:59 2015  4 relations: 41824
Sun Jan 11 03:28:59 2015  5 relations: 39105
Sun Jan 11 03:28:59 2015  6 relations: 35956
Sun Jan 11 03:28:59 2015  7 relations: 32142
Sun Jan 11 03:28:59 2015  8 relations: 28757
Sun Jan 11 03:28:59 2015  9 relations: 24368
Sun Jan 11 03:28:59 2015  10+ relations: 80517
Sun Jan 11 03:28:59 2015  heaviest cycle: 18 relations
Sun Jan 11 03:28:59 2015  commencing cycle optimization
Sun Jan 11 03:29:00 2015  start with 2483102 relations
Sun Jan 11 03:29:02 2015  pruned 55253 relations
Sun Jan 11 03:29:02 2015  memory use: 84.0 MB
Sun Jan 11 03:29:02 2015  distribution of cycle lengths:
Sun Jan 11 03:29:02 2015  1 relations: 43465
Sun Jan 11 03:29:02 2015  2 relations: 42758
Sun Jan 11 03:29:02 2015  3 relations: 44921
Sun Jan 11 03:29:02 2015  4 relations: 42880
Sun Jan 11 03:29:02 2015  5 relations: 40019
Sun Jan 11 03:29:02 2015  6 relations: 36677
Sun Jan 11 03:29:02 2015  7 relations: 32652
Sun Jan 11 03:29:02 2015  8 relations: 28965
Sun Jan 11 03:29:02 2015  9 relations: 24376
Sun Jan 11 03:29:02 2015  10+ relations: 74816
Sun Jan 11 03:29:02 2015  heaviest cycle: 18 relations
Sun Jan 11 03:29:02 2015  RelProcTime: 113
Sun Jan 11 03:29:02 2015  
Sun Jan 11 03:29:02 2015  commencing linear algebra
Sun Jan 11 03:29:02 2015  read 411529 cycles
Sun Jan 11 03:29:02 2015  cycles contain 1413204 unique relations
Sun Jan 11 03:29:13 2015  read 1413204 relations
Sun Jan 11 03:29:13 2015  using 20 quadratic characters above 134217278
Sun Jan 11 03:29:18 2015  building initial matrix
Sun Jan 11 03:29:27 2015  memory use: 180.7 MB
Sun Jan 11 03:29:27 2015  read 411529 cycles
Sun Jan 11 03:29:27 2015  matrix is 411352 x 411529 (124.6 MB) with weight 39908350 (96.98/col)
Sun Jan 11 03:29:27 2015  sparse part has weight 27717226 (67.35/col)
Sun Jan 11 03:29:28 2015  filtering completed in 2 passes
Sun Jan 11 03:29:28 2015  matrix is 410541 x 410722 (124.5 MB) with weight 39872124 (97.08/col)
Sun Jan 11 03:29:28 2015  sparse part has weight 27705060 (67.45/col)
Sun Jan 11 03:29:29 2015  matrix starts at (0, 0)
Sun Jan 11 03:29:29 2015  matrix is 410541 x 410722 (124.5 MB) with weight 39872124 (97.08/col)
Sun Jan 11 03:29:29 2015  sparse part has weight 27705060 (67.45/col)
Sun Jan 11 03:29:29 2015  saving the first 48 matrix rows for later
Sun Jan 11 03:29:29 2015  matrix includes 64 packed rows
Sun Jan 11 03:29:29 2015  matrix is 410493 x 410722 (120.2 MB) with weight 31777049 (77.37/col)
Sun Jan 11 03:29:29 2015  sparse part has weight 27404206 (66.72/col)
Sun Jan 11 03:29:29 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 11 03:29:30 2015  commencing Lanczos iteration (8 threads)
Sun Jan 11 03:29:30 2015  memory use: 113.0 MB
Sun Jan 11 03:29:38 2015  linear algebra at 3.0%, ETA 0h 4m
Sun Jan 11 03:33:44 2015  lanczos halted after 6491 iterations (dim = 410491)
Sun Jan 11 03:33:44 2015  recovered 29 nontrivial dependencies
Sun Jan 11 03:33:44 2015  BLanczosTime: 282
Sun Jan 11 03:33:44 2015  
Sun Jan 11 03:33:44 2015  commencing square root phase
Sun Jan 11 03:33:44 2015  reading relations for dependency 1
Sun Jan 11 03:33:44 2015  read 205377 cycles
Sun Jan 11 03:33:44 2015  cycles contain 707064 unique relations
Sun Jan 11 03:33:53 2015  read 707064 relations
Sun Jan 11 03:33:55 2015  multiplying 707064 relations
Sun Jan 11 03:34:14 2015  multiply complete, coefficients have about 30.30 million bits
Sun Jan 11 03:34:14 2015  initial square root is modulo 504344573
Sun Jan 11 03:34:42 2015  GCD is 1, no factor found
Sun Jan 11 03:34:42 2015  reading relations for dependency 2
Sun Jan 11 03:34:42 2015  read 205338 cycles
Sun Jan 11 03:34:42 2015  cycles contain 706156 unique relations
Sun Jan 11 03:34:50 2015  read 706156 relations
Sun Jan 11 03:34:52 2015  multiplying 706156 relations
Sun Jan 11 03:35:12 2015  multiply complete, coefficients have about 30.27 million bits
Sun Jan 11 03:35:12 2015  initial square root is modulo 491901049
Sun Jan 11 03:35:39 2015  sqrtTime: 115
--
n: 56649386989904074961359374441455355218460546676623552736768053834577881650307648149598685566704796548274501361393
skew: 82493.22
c0: -2030368975602730174907791200
c1: -1070950883864110031702940
c2: -7964992469289198611
c3: 505423357831004
c4: 386053722
c5: 4140
Y0: -6717981440813861548309
Y1: 145137366083
rlim: 3980000
alim: 3980000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 10, 2015 12:12:00 UTC 2015 年 1 月 10 日 (土) 21 時 12 分 0 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 10, 2015 12:12:00 UTC 2015 年 1 月 10 日 (土) 21 時 12 分 0 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 10, 2015 12:12:00 UTC 2015 年 1 月 10 日 (土) 21 時 12 分 0 秒 (日本時間)

7×10166-5479

c142

name 名前Cyp
date 日付February 27, 2015 19:15:55 UTC 2015 年 2 月 28 日 (土) 4 時 15 分 55 秒 (日本時間)
composite number 合成数
3141219591723830432288360991455518072947021793837060235584357188374830257490145431658777032248744744213510873963775621634390294663196181963937<142>
prime factors 素因数
4525261514973653963456879805212891568268711785174531973179733<61>
694152057583818686280707989604118608674060063990662285333565653440242324857576989<81>
factorization results 素因数分解の結果
02/27/15 13:58:52 v1.34.3, 
02/27/15 13:58:52 v1.34.3, ****************************
02/27/15 13:58:52 v1.34.3, Starting factorization of 3141219591723830432288360991455518072947021793837060235584357188374830257490145431658777032248744744213510873963775621634390294663196181963937
02/27/15 13:58:52 v1.34.3, using pretesting plan: none
02/27/15 13:58:52 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/27/15 13:58:52 v1.34.3, ****************************
02/27/15 13:58:52 v1.34.3, nfs: commencing nfs on c142: 3141219591723830432288360991455518072947021793837060235584357188374830257490145431658777032248744744213510873963775621634390294663196181963937
02/27/15 13:58:52 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/27/15 13:58:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/27/15 14:02:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
[82 lines snipped]
02/27/15 19:38:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/27/15 19:42:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/27/15 19:46:02 v1.34.3, nfs: commencing msieve filtering
02/27/15 19:48:01 v1.34.3, nfs: commencing msieve linear algebra
02/27/15 20:14:38 v1.34.3, nfs: commencing msieve sqrt
02/27/15 20:15:54 v1.34.3, prp81 = 694152057583818686280707989604118608674060063990662285333565653440242324857576989
02/27/15 20:15:54 v1.34.3, prp61 = 4525261514973653963456879805212891568268711785174531973179733
02/27/15 20:15:54 v1.34.3, NFS elapsed time = 22621.7174 seconds.
02/27/15 20:15:54 v1.34.3, 
02/27/15 20:15:54 v1.34.3, 
02/27/15 20:15:54 v1.34.3, Total factoring time = 22621.7183 seconds
--
Fri Feb 27 19:46:02 2015  
Fri Feb 27 19:46:02 2015  commencing relation filtering
Fri Feb 27 19:46:02 2015  estimated available RAM is 15987.3 MB
Fri Feb 27 19:46:02 2015  commencing duplicate removal, pass 1
Fri Feb 27 19:46:29 2015  found 1511728 hash collisions in 10083771 relations
Fri Feb 27 19:46:38 2015  added 366253 free relations
Fri Feb 27 19:46:38 2015  commencing duplicate removal, pass 2
Fri Feb 27 19:46:46 2015  found 1128151 duplicates and 9321873 unique relations
Fri Feb 27 19:46:46 2015  memory use: 41.3 MB
Fri Feb 27 19:46:46 2015  reading ideals above 100000
Fri Feb 27 19:46:46 2015  commencing singleton removal, initial pass
Fri Feb 27 19:47:27 2015  memory use: 344.5 MB
Fri Feb 27 19:47:27 2015  reading all ideals from disk
Fri Feb 27 19:47:27 2015  memory use: 338.1 MB
Fri Feb 27 19:47:28 2015  keeping 10325606 ideals with weight <= 200, target excess is 49608
Fri Feb 27 19:47:28 2015  commencing in-memory singleton removal
Fri Feb 27 19:47:29 2015  begin with 9321873 relations and 10325606 unique ideals
Fri Feb 27 19:47:32 2015  reduce to 3834000 relations and 3628591 ideals in 16 passes
Fri Feb 27 19:47:32 2015  max relations containing the same ideal: 112
Fri Feb 27 19:47:34 2015  removing 545820 relations and 471888 ideals in 73932 cliques
Fri Feb 27 19:47:34 2015  commencing in-memory singleton removal
Fri Feb 27 19:47:34 2015  begin with 3288180 relations and 3628591 unique ideals
Fri Feb 27 19:47:35 2015  reduce to 3222181 relations and 3089101 ideals in 9 passes
Fri Feb 27 19:47:35 2015  max relations containing the same ideal: 98
Fri Feb 27 19:47:36 2015  removing 418819 relations and 344887 ideals in 73932 cliques
Fri Feb 27 19:47:36 2015  commencing in-memory singleton removal
Fri Feb 27 19:47:36 2015  begin with 2803362 relations and 3089101 unique ideals
Fri Feb 27 19:47:37 2015  reduce to 2757950 relations and 2697767 ideals in 10 passes
Fri Feb 27 19:47:37 2015  max relations containing the same ideal: 87
Fri Feb 27 19:47:38 2015  relations with 0 large ideals: 1125
Fri Feb 27 19:47:38 2015  relations with 1 large ideals: 295
Fri Feb 27 19:47:38 2015  relations with 2 large ideals: 4354
Fri Feb 27 19:47:38 2015  relations with 3 large ideals: 38488
Fri Feb 27 19:47:38 2015  relations with 4 large ideals: 178914
Fri Feb 27 19:47:38 2015  relations with 5 large ideals: 479263
Fri Feb 27 19:47:38 2015  relations with 6 large ideals: 792137
Fri Feb 27 19:47:38 2015  relations with 7+ large ideals: 1263374
Fri Feb 27 19:47:38 2015  commencing 2-way merge
Fri Feb 27 19:47:39 2015  reduce to 1640507 relation sets and 1580324 unique ideals
Fri Feb 27 19:47:39 2015  commencing full merge
Fri Feb 27 19:47:55 2015  memory use: 198.4 MB
Fri Feb 27 19:47:55 2015  found 833921 cycles, need 824524
Fri Feb 27 19:47:55 2015  weight of 824524 cycles is about 57830682 (70.14/cycle)
Fri Feb 27 19:47:55 2015  distribution of cycle lengths:
Fri Feb 27 19:47:55 2015  1 relations: 103051
Fri Feb 27 19:47:55 2015  2 relations: 95857
Fri Feb 27 19:47:55 2015  3 relations: 92942
Fri Feb 27 19:47:55 2015  4 relations: 84007
Fri Feb 27 19:47:55 2015  5 relations: 77157
Fri Feb 27 19:47:55 2015  6 relations: 65832
Fri Feb 27 19:47:55 2015  7 relations: 57825
Fri Feb 27 19:47:55 2015  8 relations: 49957
Fri Feb 27 19:47:55 2015  9 relations: 42125
Fri Feb 27 19:47:55 2015  10+ relations: 155771
Fri Feb 27 19:47:55 2015  heaviest cycle: 22 relations
Fri Feb 27 19:47:55 2015  commencing cycle optimization
Fri Feb 27 19:47:56 2015  start with 4850804 relations
Fri Feb 27 19:48:00 2015  pruned 111938 relations
Fri Feb 27 19:48:00 2015  memory use: 160.7 MB
Fri Feb 27 19:48:00 2015  distribution of cycle lengths:
Fri Feb 27 19:48:00 2015  1 relations: 103051
Fri Feb 27 19:48:00 2015  2 relations: 97830
Fri Feb 27 19:48:00 2015  3 relations: 95813
Fri Feb 27 19:48:00 2015  4 relations: 85933
Fri Feb 27 19:48:00 2015  5 relations: 78912
Fri Feb 27 19:48:00 2015  6 relations: 66737
Fri Feb 27 19:48:00 2015  7 relations: 58478
Fri Feb 27 19:48:00 2015  8 relations: 49966
Fri Feb 27 19:48:00 2015  9 relations: 41924
Fri Feb 27 19:48:00 2015  10+ relations: 145880
Fri Feb 27 19:48:00 2015  heaviest cycle: 22 relations
Fri Feb 27 19:48:01 2015  RelProcTime: 119
Fri Feb 27 19:48:01 2015  
Fri Feb 27 19:48:01 2015  commencing linear algebra
Fri Feb 27 19:48:01 2015  read 824524 cycles
Fri Feb 27 19:48:02 2015  cycles contain 2685949 unique relations
Fri Feb 27 19:48:14 2015  read 2685949 relations
Fri Feb 27 19:48:16 2015  using 20 quadratic characters above 134214672
Fri Feb 27 19:48:24 2015  building initial matrix
Fri Feb 27 19:48:38 2015  memory use: 330.7 MB
Fri Feb 27 19:48:39 2015  read 824524 cycles
Fri Feb 27 19:48:39 2015  matrix is 824345 x 824524 (246.8 MB) with weight 72819909 (88.32/col)
Fri Feb 27 19:48:39 2015  sparse part has weight 55616308 (67.45/col)
Fri Feb 27 19:48:43 2015  filtering completed in 2 passes
Fri Feb 27 19:48:43 2015  matrix is 823500 x 823679 (246.7 MB) with weight 72790721 (88.37/col)
Fri Feb 27 19:48:43 2015  sparse part has weight 55605410 (67.51/col)
Fri Feb 27 19:48:45 2015  matrix starts at (0, 0)
Fri Feb 27 19:48:45 2015  matrix is 823500 x 823679 (246.7 MB) with weight 72790721 (88.37/col)
Fri Feb 27 19:48:45 2015  sparse part has weight 55605410 (67.51/col)
Fri Feb 27 19:48:45 2015  saving the first 48 matrix rows for later
Fri Feb 27 19:48:45 2015  matrix includes 64 packed rows
Fri Feb 27 19:48:45 2015  matrix is 823452 x 823679 (232.3 MB) with weight 57538183 (69.86/col)
Fri Feb 27 19:48:45 2015  sparse part has weight 52662863 (63.94/col)
Fri Feb 27 19:48:45 2015  using block size 65536 for processor cache size 8192 kB
Fri Feb 27 19:48:47 2015  commencing Lanczos iteration (8 threads)
Fri Feb 27 19:48:47 2015  memory use: 226.3 MB
Fri Feb 27 19:48:53 2015  linear algebra at 0.4%, ETA 0h27m
Fri Feb 27 20:14:38 2015  lanczos halted after 13025 iterations (dim = 823450)
Fri Feb 27 20:14:38 2015  recovered 37 nontrivial dependencies
Fri Feb 27 20:14:38 2015  BLanczosTime: 1597
Fri Feb 27 20:14:38 2015  
Fri Feb 27 20:14:38 2015  commencing square root phase
Fri Feb 27 20:14:38 2015  reading relations for dependency 1
Fri Feb 27 20:14:38 2015  read 412127 cycles
Fri Feb 27 20:14:39 2015  cycles contain 1343428 unique relations
Fri Feb 27 20:14:48 2015  read 1343428 relations
Fri Feb 27 20:14:51 2015  multiplying 1343428 relations
Fri Feb 27 20:15:19 2015  multiply complete, coefficients have about 37.80 million bits
Fri Feb 27 20:15:19 2015  initial square root is modulo 267581
Fri Feb 27 20:15:53 2015  sqrtTime: 75
--
n: 3141219591723830432288360991455518072947021793837060235584357188374830257490145431658777032248744744213510873963775621634390294663196181963937
m: 1000000000000000000000000000000000
deg: 5
c5: 70
c0: -547
skew: 1.51
# Murphy_E = 2.374e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:04:18 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 18 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2015 10:04:28 UTC 2015 年 2 月 22 日 (日) 19 時 4 分 28 秒 (日本時間)

7×10168-5479

c130

name 名前Serge Batalov
date 日付January 8, 2015 23:05:38 UTC 2015 年 1 月 9 日 (金) 8 時 5 分 38 秒 (日本時間)
composite number 合成数
1057146151850995924529353762369335312752585084075511942859080370068592440365416186176040228917578459504241539410031111355606836777<130>
prime factors 素因数
108351862830225036861626414151773803<36>
9756603386758775941601076431004312018385161211060625361241775538865596389398869817726796380859<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2961374305
Step 1 took 7871ms
Step 2 took 6866ms
********** Factor found in step 2: 108351862830225036861626414151773803
Found probable prime factor of 36 digits: 108351862830225036861626414151773803
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10169-5479

c159

name 名前Jo Yeong Uk
date 日付April 1, 2015 12:41:36 UTC 2015 年 4 月 1 日 (水) 21 時 41 分 36 秒 (日本時間)
composite number 合成数
118285129276487709762509074567519109493553194878124486906098274298642223655107020750075792351131260616605009050019497844514159373478449700393020734851796641197<159>
prime factors 素因数
4911442289672470389155278135029003732073<40>
954839334261563254714018524304062769093880273616027575417<57>
25222655151507334008222981506967474568213184249608602591512717<62>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 118285129276487709762509074567519109493553194878124486906098274298642223655107020750075792351131260616605009050019497844514159373478449700393020734851796641197 (159 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3891734450
Step 1 took 29457ms
********** Factor found in step 1: 4911442289672470389155278135029003732073
Found probable prime factor of 40 digits: 4911442289672470389155278135029003732073
Composite cofactor 24083583253174251674484746483972338949912572126918229707583614829160188779259195099854173255432574340606822915832077989 has 119 digits

Number: 77717_169
N=24083583253174251674484746483972338949912572126918229707583614829160188779259195099854173255432574340606822915832077989
  ( 119 digits)
Divisors found:
 r1=954839334261563254714018524304062769093880273616027575417
 r2=25222655151507334008222981506967474568213184249608602591512717
Version: 
Total time: 17.45 hours.
Scaled time: 91.60 units (timescale=5.248).
Factorization parameters were as follows:
name: 77717_169
n: 24083583253174251674484746483972338949912572126918229707583614829160188779259195099854173255432574340606822915832077989
skew: 98833.95
# norm 1.13e+16
c5: 13560
c4: -2315274206
c3: -291769140510533
c2: 19431905998487915292
c1: 670551232153149222094724
c0: -42169607954710085419809661360
# alpha -5.53
Y1: 8454342454427
Y0: -70777310285879514445197
# Murphy_E 3.35e-10
# M 18104343593256064279508983850320348873775708230865145580693973407070465981795509085051274605022679430626094845868188941
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2000000, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10813386
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 670561 x 670809
Polynomial selection time: 2.27 hours.
Total sieving time: 14.05 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,54,54,2.5,2.5,100000
total time: 17.45 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:04:19 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 19 秒 (日本時間)
2350Ignacio SantosFebruary 13, 2015 22:24:24 UTC 2015 年 2 月 14 日 (土) 7 時 24 分 24 秒 (日本時間)

7×10170-5479

c150

name 名前Jo Yeong Uk
date 日付April 10, 2015 11:44:18 UTC 2015 年 4 月 10 日 (金) 20 時 44 分 18 秒 (日本時間)
composite number 合成数
328266727383815009828167098398713306295841617811426069329346686277692934570038881866856305383833816837192273152306125635457010154534862811355015174781<150>
prime factors 素因数
615666775407403578863718927267162609161993037222833<51>
533188959509130437505783608920963660160684783570888501249190854064308870777743499163926981441430157<99>
factorization results 素因数分解の結果
Number: 77717_170
N=328266727383815009828167098398713306295841617811426069329346686277692934570038881866856305383833816837192273152306125635457010154534862811355015174781
  ( 150 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=615666775407403578863718927267162609161993037222833
 r2=533188959509130437505783608920963660160684783570888501249190854064308870777743499163926981441430157
Version: 
Total time: 20.69 hours.
Scaled time: 107.72 units (timescale=5.206).
Factorization parameters were as follows:
n: 328266727383815009828167098398713306295841617811426069329346686277692934570038881866856305383833816837192273152306125635457010154534862811355015174781
m: 10000000000000000000000000000000000
deg: 5
c5: 7
c0: -547
skew: 2.39
# Murphy_E = 2.229e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10973490
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 964830 x 965078
Total sieving time: 18.91 hours.
Total relation processing time: 0.73 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 20.69 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:19 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 19 秒 (日本時間)
1CypJanuary 9, 2015 00:11:34 UTC 2015 年 1 月 9 日 (金) 9 時 11 分 34 秒 (日本時間)
4511e6585 / 4409CypFebruary 10, 2015 17:51:47 UTC 2015 年 2 月 11 日 (水) 2 時 51 分 47 秒 (日本時間)

7×10172-5479

c164

name 名前Cyp
date 日付April 14, 2015 18:52:42 UTC 2015 年 4 月 15 日 (水) 3 時 52 分 42 秒 (日本時間)
composite number 合成数
55213284853324343096137684724809585767055067595136104300532705423248631508564793989875560464237432155502954174580278330026968589819285033535772290115198504051891193<164>
prime factors 素因数
13812448507398044148829159254708505904238725029156700382421<59>
3997356791864362141969473478385337591263366285673967036383006796654401425256995945925535893027250903645333<106>
factorization results 素因数分解の結果
04/14/15 08:05:11 v1.34.3, 
04/14/15 08:05:11 v1.34.3, ****************************
04/14/15 08:05:11 v1.34.3, Starting factorization of 55213284853324343096137684724809585767055067595136104300532705423248631508564793989875560464237432155502954174580278330026968589819285033535772290115198504051891193
04/14/15 08:05:11 v1.34.3, using pretesting plan: none
04/14/15 08:05:11 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/14/15 08:05:11 v1.34.3, ****************************
04/14/15 08:05:11 v1.34.3, nfs: commencing nfs on c164: 55213284853324343096137684724809585767055067595136104300532705423248631508564793989875560464237432155502954174580278330026968589819285033535772290115198504051891193
04/14/15 08:05:11 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/14/15 08:05:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/14/15 08:10:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
[85 lines snipped]
04/14/15 15:17:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/14/15 15:22:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/14/15 18:50:18 v1.34.3, 
04/14/15 18:50:18 v1.34.3, ****************************
04/14/15 18:50:18 v1.34.3, Starting factorization of 55213284853324343096137684724809585767055067595136104300532705423248631508564793989875560464237432155502954174580278330026968589819285033535772290115198504051891193
04/14/15 18:50:18 v1.34.3, using pretesting plan: none
04/14/15 18:50:18 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/14/15 18:50:18 v1.34.3, ****************************
04/14/15 18:50:18 v1.34.3, nfs: previous data file found - commencing search for last special-q
04/14/15 18:50:25 v1.34.3, nfs: parsing special-q from .dat file
04/14/15 18:50:25 v1.34.3, nfs: commencing nfs on c164: 55213284853324343096137684724809585767055067595136104300532705423248631508564793989875560464237432155502954174580278330026968589819285033535772290115198504051891193
04/14/15 18:50:25 v1.34.3, nfs: resuming with filtering
04/14/15 18:50:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/14/15 18:55:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/14/15 19:00:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/14/15 19:05:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/14/15 19:10:39 v1.34.3, nfs: commencing msieve filtering
04/14/15 19:12:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/14/15 19:17:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
04/14/15 19:32:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/14/15 19:37:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/14/15 19:42:39 v1.34.3, nfs: commencing msieve filtering
04/14/15 19:44:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/14/15 19:49:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
04/14/15 20:04:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/14/15 20:09:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/14/15 20:14:21 v1.34.3, nfs: commencing msieve filtering
04/14/15 20:16:42 v1.34.3, nfs: commencing msieve linear algebra
04/14/15 20:50:50 v1.34.3, nfs: commencing msieve sqrt
04/14/15 20:52:41 v1.34.3, prp106 = 3997356791864362141969473478385337591263366285673967036383006796654401425256995945925535893027250903645333
04/14/15 20:52:41 v1.34.3, prp59 = 13812448507398044148829159254708505904238725029156700382421
04/14/15 20:52:41 v1.34.3, NFS elapsed time = 7342.9561 seconds.
04/14/15 20:52:41 v1.34.3, 
04/14/15 20:52:41 v1.34.3, 
04/14/15 20:52:41 v1.34.3, Total factoring time = 7342.9572 seconds
--
Tue Apr 14 19:10:39 2015  
Tue Apr 14 19:10:39 2015  commencing relation filtering
Tue Apr 14 19:10:39 2015  estimated available RAM is 15987.3 MB
Tue Apr 14 19:10:39 2015  commencing duplicate removal, pass 1
Tue Apr 14 19:11:09 2015  found 1475054 hash collisions in 10070518 relations
Tue Apr 14 19:11:19 2015  added 370245 free relations
Tue Apr 14 19:11:19 2015  commencing duplicate removal, pass 2
Tue Apr 14 19:11:28 2015  found 1082451 duplicates and 9358312 unique relations
Tue Apr 14 19:11:28 2015  memory use: 41.3 MB
Tue Apr 14 19:11:28 2015  reading ideals above 100000
Tue Apr 14 19:11:28 2015  commencing singleton removal, initial pass
Tue Apr 14 19:12:11 2015  memory use: 344.5 MB
Tue Apr 14 19:12:11 2015  reading all ideals from disk
Tue Apr 14 19:12:11 2015  memory use: 344.5 MB
Tue Apr 14 19:12:12 2015  keeping 10901326 ideals with weight <= 200, target excess is 48614
Tue Apr 14 19:12:12 2015  commencing in-memory singleton removal
Tue Apr 14 19:12:13 2015  begin with 9358312 relations and 10901326 unique ideals
Tue Apr 14 19:12:17 2015  reduce to 3105786 relations and 3294941 ideals in 23 passes
Tue Apr 14 19:12:17 2015  max relations containing the same ideal: 96
Tue Apr 14 19:42:39 2015  
Tue Apr 14 19:42:39 2015  commencing relation filtering
Tue Apr 14 19:42:39 2015  estimated available RAM is 15987.3 MB
Tue Apr 14 19:42:39 2015  commencing duplicate removal, pass 1
Tue Apr 14 19:43:13 2015  found 1661422 hash collisions in 11028280 relations
Tue Apr 14 19:43:23 2015  added 1274 free relations
Tue Apr 14 19:43:23 2015  commencing duplicate removal, pass 2
Tue Apr 14 19:43:32 2015  found 1193744 duplicates and 9835810 unique relations
Tue Apr 14 19:43:32 2015  memory use: 41.3 MB
Tue Apr 14 19:43:32 2015  reading ideals above 100000
Tue Apr 14 19:43:32 2015  commencing singleton removal, initial pass
Tue Apr 14 19:44:17 2015  memory use: 344.5 MB
Tue Apr 14 19:44:17 2015  reading all ideals from disk
Tue Apr 14 19:44:18 2015  memory use: 362.3 MB
Tue Apr 14 19:44:18 2015  keeping 11089816 ideals with weight <= 200, target excess is 51372
Tue Apr 14 19:44:19 2015  commencing in-memory singleton removal
Tue Apr 14 19:44:19 2015  begin with 9835810 relations and 11089816 unique ideals
Tue Apr 14 19:44:23 2015  reduce to 3810477 relations and 3828104 ideals in 21 passes
Tue Apr 14 19:44:23 2015  max relations containing the same ideal: 114
Tue Apr 14 20:14:21 2015  
Tue Apr 14 20:14:21 2015  commencing relation filtering
Tue Apr 14 20:14:21 2015  estimated available RAM is 15987.3 MB
Tue Apr 14 20:14:21 2015  commencing duplicate removal, pass 1
Tue Apr 14 20:14:57 2015  found 1809406 hash collisions in 11607210 relations
Tue Apr 14 20:15:06 2015  added 1065 free relations
Tue Apr 14 20:15:06 2015  commencing duplicate removal, pass 2
Tue Apr 14 20:15:16 2015  found 1306230 duplicates and 10302045 unique relations
Tue Apr 14 20:15:16 2015  memory use: 45.3 MB
Tue Apr 14 20:15:16 2015  reading ideals above 720000
Tue Apr 14 20:15:16 2015  commencing singleton removal, initial pass
Tue Apr 14 20:16:00 2015  memory use: 344.5 MB
Tue Apr 14 20:16:01 2015  reading all ideals from disk
Tue Apr 14 20:16:01 2015  memory use: 306.1 MB
Tue Apr 14 20:16:01 2015  keeping 11201127 ideals with weight <= 200, target excess is 116018
Tue Apr 14 20:16:02 2015  commencing in-memory singleton removal
Tue Apr 14 20:16:02 2015  begin with 10302045 relations and 11201127 unique ideals
Tue Apr 14 20:16:06 2015  reduce to 4470775 relations and 4234938 ideals in 17 passes
Tue Apr 14 20:16:06 2015  max relations containing the same ideal: 74
Tue Apr 14 20:16:07 2015  removing 472395 relations and 421767 ideals in 50628 cliques
Tue Apr 14 20:16:07 2015  commencing in-memory singleton removal
Tue Apr 14 20:16:08 2015  begin with 3998380 relations and 4234938 unique ideals
Tue Apr 14 20:16:09 2015  reduce to 3954087 relations and 3768149 ideals in 10 passes
Tue Apr 14 20:16:09 2015  max relations containing the same ideal: 70
Tue Apr 14 20:16:10 2015  removing 351163 relations and 300535 ideals in 50628 cliques
Tue Apr 14 20:16:10 2015  commencing in-memory singleton removal
Tue Apr 14 20:16:10 2015  begin with 3602924 relations and 3768149 unique ideals
Tue Apr 14 20:16:12 2015  reduce to 3575848 relations and 3440155 ideals in 9 passes
Tue Apr 14 20:16:12 2015  max relations containing the same ideal: 67
Tue Apr 14 20:16:13 2015  relations with 0 large ideals: 2885
Tue Apr 14 20:16:13 2015  relations with 1 large ideals: 2106
Tue Apr 14 20:16:13 2015  relations with 2 large ideals: 29795
Tue Apr 14 20:16:13 2015  relations with 3 large ideals: 173519
Tue Apr 14 20:16:13 2015  relations with 4 large ideals: 540812
Tue Apr 14 20:16:13 2015  relations with 5 large ideals: 960362
Tue Apr 14 20:16:13 2015  relations with 6 large ideals: 1025510
Tue Apr 14 20:16:13 2015  relations with 7+ large ideals: 840859
Tue Apr 14 20:16:13 2015  commencing 2-way merge
Tue Apr 14 20:16:14 2015  reduce to 2125807 relation sets and 1990115 unique ideals
Tue Apr 14 20:16:14 2015  ignored 1 oversize relation sets
Tue Apr 14 20:16:14 2015  commencing full merge
Tue Apr 14 20:16:34 2015  memory use: 236.2 MB
Tue Apr 14 20:16:34 2015  found 1071973 cycles, need 1054315
Tue Apr 14 20:16:34 2015  weight of 1054315 cycles is about 73863468 (70.06/cycle)
Tue Apr 14 20:16:34 2015  distribution of cycle lengths:
Tue Apr 14 20:16:34 2015  1 relations: 143098
Tue Apr 14 20:16:34 2015  2 relations: 126749
Tue Apr 14 20:16:34 2015  3 relations: 120483
Tue Apr 14 20:16:34 2015  4 relations: 106549
Tue Apr 14 20:16:34 2015  5 relations: 95019
Tue Apr 14 20:16:34 2015  6 relations: 80736
Tue Apr 14 20:16:34 2015  7 relations: 69878
Tue Apr 14 20:16:34 2015  8 relations: 59629
Tue Apr 14 20:16:34 2015  9 relations: 50548
Tue Apr 14 20:16:34 2015  10+ relations: 201626
Tue Apr 14 20:16:34 2015  heaviest cycle: 22 relations
Tue Apr 14 20:16:35 2015  commencing cycle optimization
Tue Apr 14 20:16:36 2015  start with 6152930 relations
Tue Apr 14 20:16:41 2015  pruned 142424 relations
Tue Apr 14 20:16:41 2015  memory use: 204.7 MB
Tue Apr 14 20:16:41 2015  distribution of cycle lengths:
Tue Apr 14 20:16:41 2015  1 relations: 143098
Tue Apr 14 20:16:41 2015  2 relations: 129406
Tue Apr 14 20:16:41 2015  3 relations: 124478
Tue Apr 14 20:16:41 2015  4 relations: 108953
Tue Apr 14 20:16:41 2015  5 relations: 96993
Tue Apr 14 20:16:41 2015  6 relations: 81653
Tue Apr 14 20:16:41 2015  7 relations: 70544
Tue Apr 14 20:16:41 2015  8 relations: 59407
Tue Apr 14 20:16:41 2015  9 relations: 50300
Tue Apr 14 20:16:41 2015  10+ relations: 189483
Tue Apr 14 20:16:41 2015  heaviest cycle: 22 relations
Tue Apr 14 20:16:42 2015  RelProcTime: 141
Tue Apr 14 20:16:42 2015  
Tue Apr 14 20:16:42 2015  commencing linear algebra
Tue Apr 14 20:16:42 2015  read 1054315 cycles
Tue Apr 14 20:16:43 2015  cycles contain 3441411 unique relations
Tue Apr 14 20:16:59 2015  read 3441411 relations
Tue Apr 14 20:17:01 2015  using 20 quadratic characters above 134217278
Tue Apr 14 20:17:12 2015  building initial matrix
Tue Apr 14 20:17:31 2015  memory use: 416.2 MB
Tue Apr 14 20:17:31 2015  read 1054315 cycles
Tue Apr 14 20:17:31 2015  matrix is 1054134 x 1054315 (315.5 MB) with weight 93072674 (88.28/col)
Tue Apr 14 20:17:31 2015  sparse part has weight 71108859 (67.45/col)
Tue Apr 14 20:17:37 2015  filtering completed in 2 passes
Tue Apr 14 20:17:37 2015  matrix is 1052040 x 1052220 (315.3 MB) with weight 92996633 (88.38/col)
Tue Apr 14 20:17:37 2015  sparse part has weight 71078378 (67.55/col)
Tue Apr 14 20:17:40 2015  matrix starts at (0, 0)
Tue Apr 14 20:17:40 2015  matrix is 1052040 x 1052220 (315.3 MB) with weight 92996633 (88.38/col)
Tue Apr 14 20:17:40 2015  sparse part has weight 71078378 (67.55/col)
Tue Apr 14 20:17:40 2015  saving the first 48 matrix rows for later
Tue Apr 14 20:17:40 2015  matrix includes 64 packed rows
Tue Apr 14 20:17:40 2015  matrix is 1051992 x 1052220 (298.6 MB) with weight 74554481 (70.85/col)
Tue Apr 14 20:17:40 2015  sparse part has weight 67755743 (64.39/col)
Tue Apr 14 20:17:40 2015  using block size 65536 for processor cache size 8192 kB
Tue Apr 14 20:17:43 2015  commencing Lanczos iteration (8 threads)
Tue Apr 14 20:17:43 2015  memory use: 291.4 MB
Tue Apr 14 20:17:46 2015  linear algebra at 0.1%, ETA 0h34m
Tue Apr 14 20:17:46 2015  checkpointing every 2430000 dimensions
Tue Apr 14 20:50:49 2015  lanczos halted after 16638 iterations (dim = 1051988)
Tue Apr 14 20:50:50 2015  recovered 36 nontrivial dependencies
Tue Apr 14 20:50:50 2015  BLanczosTime: 2048
Tue Apr 14 20:50:50 2015  
Tue Apr 14 20:50:50 2015  commencing square root phase
Tue Apr 14 20:50:50 2015  reading relations for dependency 1
Tue Apr 14 20:50:50 2015  read 525406 cycles
Tue Apr 14 20:50:50 2015  cycles contain 1718040 unique relations
Tue Apr 14 20:51:02 2015  read 1718040 relations
Tue Apr 14 20:51:06 2015  multiplying 1718040 relations
Tue Apr 14 20:51:49 2015  multiply complete, coefficients have about 53.88 million bits
Tue Apr 14 20:51:49 2015  initial square root is modulo 54410201
Tue Apr 14 20:52:41 2015  sqrtTime: 111
--
n: 55213284853324343096137684724809585767055067595136104300532705423248631508564793989875560464237432155502954174580278330026968589819285033535772290115198504051891193
m: 10000000000000000000000000000000000
deg: 5
c5: 700
c0: -547
skew: 0.95
# Murphy_E = 1.358e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:04:20 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 20 秒 (日本時間)
2350Ignacio SantosFebruary 28, 2015 17:17:41 UTC 2015 年 3 月 1 日 (日) 2 時 17 分 41 秒 (日本時間)

7×10173-5479

c144

name 名前Jo Yeong Uk
date 日付August 14, 2015 23:33:58 UTC 2015 年 8 月 15 日 (土) 8 時 33 分 58 秒 (日本時間)
composite number 合成数
120321740822143837730453264128397339001686442119555107881334575090865209473536914532441584905408756486079796810890628810545104220618191562310223<144>
prime factors 素因数
5561224087556233267537806337372827373847375056976741133978520147<64>
21635837529254602957997811339171158232343853869484948360638323487160739909058709<80>
factorization results 素因数分解の結果
Number: 77717_173
N=120321740822143837730453264128397339001686442119555107881334575090865209473536914532441584905408756486079796810890628810545104220618191562310223
  ( 144 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=5561224087556233267537806337372827373847375056976741133978520147
 r2=21635837529254602957997811339171158232343853869484948360638323487160739909058709
Version: 
Total time: 43.62 hours.
Scaled time: 229.07 units (timescale=5.252).
Factorization parameters were as follows:
n: 120321740822143837730453264128397339001686442119555107881334575090865209473536914532441584905408756486079796810890628810545104220618191562310223
m: 20000000000000000000000000000000000
deg: 5
c5: 875
c0: -2188
skew: 1.20
# Murphy_E = 1.016e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3600000, 8900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16994216
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1279605 x 1279853
Total sieving time: 39.51 hours.
Total relation processing time: 2.21 hours.
Matrix solve time: 1.81 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,52,52,2.4,2.4,100000
total time: 43.62 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.89 BogoMIPS (lpj=3399945)
Total of 12 processors activated (81598.68 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:04:20 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 20 秒 (日本時間)
1CypJanuary 9, 2015 01:03:39 UTC 2015 年 1 月 9 日 (金) 10 時 3 分 39 秒 (日本時間)
2350Ignacio SantosMarch 2, 2015 20:20:53 UTC 2015 年 3 月 3 日 (火) 5 時 20 分 53 秒 (日本時間)

7×10175-5479

c129

name 名前Jo Yeong Uk
date 日付May 20, 2015 12:33:45 UTC 2015 年 5 月 20 日 (水) 21 時 33 分 45 秒 (日本時間)
composite number 合成数
655185777338775510504968679061326689089963133747248465700185858516515486904898649081811956390244351336463201046312769123089809261<129>
prime factors 素因数
1310654521414833302194215517521391099457677684849039667<55>
499892051363399401952125345580926623200193197122767903258745923004125250783<75>
factorization results 素因数分解の結果
Number: 77717_175
N=655185777338775510504968679061326689089963133747248465700185858516515486904898649081811956390244351336463201046312769123089809261
  ( 129 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=1310654521414833302194215517521391099457677684849039667
 r2=499892051363399401952125345580926623200193197122767903258745923004125250783
Version: 
Total time: 31.41 hours.
Scaled time: 160.28 units (timescale=5.103).
Factorization parameters were as follows:
n: 655185777338775510504968679061326689089963133747248465700185858516515486904898649081811956390244351336463201046312769123089809261
m: 100000000000000000000000000000000000
deg: 5
c5: 7
c0: -547
skew: 2.39
# Murphy_E = 1.409e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3700000, 7300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16103124
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1226725 x 1226973
Total sieving time: 27.98 hours.
Total relation processing time: 1.42 hours.
Matrix solve time: 1.64 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,52,52,2.5,2.5,100000
total time: 31.41 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:21 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 21 秒 (日本時間)
4511e61014 / 4409Pierre JammesFebruary 1, 2015 08:34:00 UTC 2015 年 2 月 1 日 (日) 17 時 34 分 0 秒 (日本時間)

7×10178-5479

c170

name 名前Jo Yeong Uk
date 日付November 16, 2015 11:33:08 UTC 2015 年 11 月 16 日 (月) 20 時 33 分 8 秒 (日本時間)
composite number 合成数
15734658675142319487579297248455713888413190820492648714980647784824951518757437097408344886613236454734168542098054671841491102104354217771138138439909451022441009144519<170>
prime factors 素因数
27125597399367800649995843605385109136708578943<47>
580066807137270176619611179565854632942877504856540356282607457603141945985749683784481867117028023278594818017043283195833<123>
factorization results 素因数分解の結果
Number: 77717_178
N=15734658675142319487579297248455713888413190820492648714980647784824951518757437097408344886613236454734168542098054671841491102104354217771138138439909451022441009144519
  ( 170 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=27125597399367800649995843605385109136708578943
 r2=580066807137270176619611179565854632942877504856540356282607457603141945985749683784481867117028023278594818017043283195833
Version: 
Total time: 70.05 hours.
Scaled time: 363.40 units (timescale=5.188).
Factorization parameters were as follows:
n: 15734658675142319487579297248455713888413190820492648714980647784824951518757437097408344886613236454734168542098054671841491102104354217771138138439909451022441009144519
m: 200000000000000000000000000000000000
deg: 5
c5: 875
c0: -2188
skew: 1.20
# Murphy_E = 6.416e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [5000000, 12100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19565680
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1684987 x 1685235
Total sieving time: 62.53 hours.
Total relation processing time: 3.62 hours.
Matrix solve time: 3.75 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,53,53,2.5,2.5,100000
total time: 70.05 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:22 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 22 秒 (日本時間)
4511e61024 / 4409CypMay 2, 2015 14:40:51 UTC 2015 年 5 月 2 日 (土) 23 時 40 分 51 秒 (日本時間)

7×10179-5479

c135

name 名前Jo Yeong Uk
date 日付December 11, 2015 18:52:11 UTC 2015 年 12 月 12 日 (土) 3 時 52 分 11 秒 (日本時間)
composite number 合成数
228964569508522511464296121313021424972008900104926665201640984203836049710274655277644571550559531598913095755615393146206805886652633<135>
prime factors 素因数
6985747283203964646130463583715919085171069545615833<52>
32775959425132467177250240218255634207954289393437471017964802387389237050512889601<83>
factorization results 素因数分解の結果
Number: 77717_179
N=228964569508522511464296121313021424972008900104926665201640984203836049710274655277644571550559531598913095755615393146206805886652633
  ( 135 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=6985747283203964646130463583715919085171069545615833
 r2=32775959425132467177250240218255634207954289393437471017964802387389237050512889601
Version: 
Total time: 57.14 hours.
Scaled time: 298.31 units (timescale=5.221).
Factorization parameters were as follows:
n: 228964569508522511464296121313021424972008900104926665201640984203836049710274655277644571550559531598913095755615393146206805886652633
m: 1000000000000000000000000000000000000
deg: 5
c5: 7
c0: -5470
skew: 3.79
# Murphy_E = 7.141e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2900000, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17947879
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1398257 x 1398504
Total sieving time: 53.39 hours.
Total relation processing time: 1.24 hours.
Matrix solve time: 2.42 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000
total time: 57.14 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:22 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 22 秒 (日本時間)
1CypJanuary 9, 2015 01:06:35 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 35 秒 (日本時間)
4511e62869 / 4409615Pierre JammesMarch 13, 2015 09:39:06 UTC 2015 年 3 月 13 日 (金) 18 時 39 分 6 秒 (日本時間)
2254KTakahashiJuly 29, 2015 22:58:56 UTC 2015 年 7 月 30 日 (木) 7 時 58 分 56 秒 (日本時間)

7×10181-5479

c171

name 名前Jo Yeong Uk
date 日付December 24, 2015 01:00:57 UTC 2015 年 12 月 24 日 (木) 10 時 0 分 57 秒 (日本時間)
composite number 合成数
260293826337741152710738358643035460462153024416206517257585623648326485067668512202537968386630835786285487835359243528219782808877389588961757215579482852175084478738671<171>
prime factors 素因数
399664606131273538566418304299035946005664469371<48>
651280654690361138883739615890773330798407757297470191031944043606716680184384764683621641599353949831927728857511678198301<123>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 260293826337741152710738358643035460462153024416206517257585623648326485067668512202537968386630835786285487835359243528219782808877389588961757215579482852175084478738671 (171 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3639997964
Step 1 took 29398ms
Step 2 took 10038ms
********** Factor found in step 2: 399664606131273538566418304299035946005664469371
Found probable prime factor of 48 digits: 399664606131273538566418304299035946005664469371
Probable prime cofactor 651280654690361138883739615890773330798407757297470191031944043606716680184384764683621641599353949831927728857511678198301 has 123 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:23 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 23 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 18, 2015 09:45:11 UTC 2015 年 5 月 18 日 (月) 18 時 45 分 11 秒 (日本時間)

7×10184-5479

c143

name 名前Jo Yeong Uk
date 日付June 9, 2016 12:55:08 UTC 2016 年 6 月 9 日 (木) 21 時 55 分 8 秒 (日本時間)
composite number 合成数
52390588943761501642571368325795011757646177233790778594981246243437997110841919199542510289472733342536803129589259148593870042110168036854109<143>
prime factors 素因数
35001451926742260723080550956902389493309690503468639848204964967<65>
1496811876644847643703927851469663173410902309630011257926155244855016348400027<79>
factorization results 素因数分解の結果
Number: 77717_184
N=52390588943761501642571368325795011757646177233790778594981246243437997110841919199542510289472733342536803129589259148593870042110168036854109
  ( 143 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=35001451926742260723080550956902389493309690503468639848204964967
 r2=1496811876644847643703927851469663173410902309630011257926155244855016348400027
Version: 
Total time: 83.28 hours.
Scaled time: 437.80 units (timescale=5.257).
Factorization parameters were as follows:
n: 52390588943761501642571368325795011757646177233790778594981246243437997110841919199542510289472733342536803129589259148593870042110168036854109
m: 10000000000000000000000000000000000000
deg: 5
c5: 7
c0: -5470
skew: 3.79
# Murphy_E = 4.479e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20610749
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1639836 x 1640084
Total sieving time: 77.59 hours.
Total relation processing time: 2.10 hours.
Matrix solve time: 3.42 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 83.28 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:23 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 23 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 24, 2015 13:17:58 UTC 2015 年 5 月 24 日 (日) 22 時 17 分 58 秒 (日本時間)

7×10186-5479

c184

name 名前Cyp
date 日付January 8, 2015 19:28:26 UTC 2015 年 1 月 9 日 (金) 4 時 28 分 26 秒 (日本時間)
composite number 合成数
9602194787379972565157750342935528120713305898491083676268861454046639231824417009602194787379972565157750342935528120713305898491083676268861454046639231824417009602194787379972565157<184>
prime factors 素因数
188845765187999991267606289078567<33>
composite cofactor 合成数の残り
50846757287995220009453495256281065351397251004610964130030268200565345805672489682740785864621133176975033229766139064870283766257208168126815349970771<152>
factorization results 素因数分解の結果
Run 269 out of 281:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3660284619
Step 1 took 16112ms
Step 2 took 5674ms
********** Factor found in step 2: 188845765187999991267606289078567
Found probable prime factor of 33 digits: 188845765187999991267606289078567
Composite cofactor 50846757287995220009453495256281065351397251004610964130030268200565345805672489682740785864621133176975033229766139064870283766257208168126815349970771 has 152 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c152

name 名前Erik Branger
date 日付January 20, 2017 07:40:16 UTC 2017 年 1 月 20 日 (金) 16 時 40 分 16 秒 (日本時間)
composite number 合成数
50846757287995220009453495256281065351397251004610964130030268200565345805672489682740785864621133176975033229766139064870283766257208168126815349970771<152>
prime factors 素因数
39036708788419314261500290070535595407868809396530772479210948345909186681<74>
1302536993156541198728560492445545573987439026892769695958266778964241997998891<79>
factorization results 素因数分解の結果
Number: 77717_186
N = 50846757287995220009453495256281065351397251004610964130030268200565345805672489682740785864621133176975033229766139064870283766257208168126815349970771 (152 digits)
SNFS difficulty: 187 digits.
Divisors found:
r1=39036708788419314261500290070535595407868809396530772479210948345909186681 (pp74)
r2=1302536993156541198728560492445545573987439026892769695958266778964241997998891 (pp79)
Version: Msieve v. 1.51 (SVN 845)
Total time: 215.55 hours.
Factorization parameters were as follows:
n: 50846757287995220009453495256281065351397251004610964130030268200565345805672489682740785864621133176975033229766139064870283766257208168126815349970771
m: 10000000000000000000000000000000000000
deg: 5
c5: 70
c0: -547
skew: 1.51
# Murphy_E = 3.751e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 23086571
Relations: 3057984 relations
Pruned matrix : 1961576 x 1961802
Polynomial selection time: 0.00 hours.
Total sieving time: 211.26 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 3.69 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 215.55 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
execution environment 実行環境
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6281CypJanuary 8, 2015 19:28:25 UTC 2015 年 1 月 9 日 (金) 4 時 28 分 25 秒 (日本時間)
4511e64413600KTakahashiMay 31, 2015 22:29:14 UTC 2015 年 6 月 1 日 (月) 7 時 29 分 14 秒 (日本時間)
3813LegionMammal978January 16, 2017 12:24:17 UTC 2017 年 1 月 16 日 (月) 21 時 24 分 17 秒 (日本時間)
5043e62000 / 6552LegionMammal978January 17, 2017 22:49:45 UTC 2017 年 1 月 18 日 (水) 7 時 49 分 45 秒 (日本時間)

7×10187-5479

c187

name 名前Cyp
date 日付February 18, 2015 07:23:35 UTC 2015 年 2 月 18 日 (水) 16 時 23 分 35 秒 (日本時間)
composite number 合成数
7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777717<187>
prime factors 素因数
5867138661976060439429465661178437519882951967<46>
composite cofactor 合成数の残り
1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251<142>
factorization results 素因数分解の結果
02/18/15 08:05:18 v1.34.3, // Seems data files were lost after finding the first factor…
02/11/15 21:05:18 v1.34.3, 
02/11/15 21:05:18 v1.34.3, ****************************
02/11/15 21:05:18 v1.34.3, Starting factorization of 7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777717
02/11/15 21:05:18 v1.34.3, using pretesting plan: none
02/11/15 21:05:18 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/11/15 21:05:18 v1.34.3, ****************************
02/11/15 21:05:18 v1.34.3, nfs: commencing nfs on c187: 7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777717
02/11/15 21:05:18 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/11/15 21:05:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/11/15 21:36:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
[59 lines snipped]
02/13/15 03:25:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/13/15 03:56:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/13/15 04:25:56 v1.34.3, nfs: commencing msieve filtering
02/13/15 04:30:29 v1.34.3, nfs: commencing msieve linear algebra
02/13/15 06:39:38 v1.34.3, nfs: commencing msieve sqrt
02/13/15 06:43:06 v1.34.3, prp46 = 5867138661976060439429465661178437519882951967
02/13/15 06:43:06 v1.34.3, C142 = 1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251
02/13/15 06:43:06 v1.34.3, NFS elapsed time = 121068.5319 seconds.
02/13/15 06:43:06 v1.34.3, 
02/13/15 06:43:06 v1.34.3, 
02/13/15 06:43:06 v1.34.3, 
02/13/15 06:43:06 v1.34.3, ****************************
02/13/15 06:43:06 v1.34.3, Starting factorization of 1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251
02/13/15 06:43:06 v1.34.3, using pretesting plan: normal
02/13/15 06:43:06 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/13/15 06:43:06 v1.34.3, ****************************
02/13/15 06:43:06 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C142
02/13/15 06:43:06 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C142
02/13/15 06:43:06 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C142
02/13/15 06:43:06 v1.34.3, pm1: starting B1 = 150K, B2 = gmp-ecm default on C142
02/13/15 06:43:06 v1.34.3, current ECM pretesting depth: 0.00
02/13/15 06:43:06 v1.34.3, scheduled 30 curves at B1=2000 toward target pretesting depth of 43.69
02/13/15 06:43:07 v1.34.3, Finished 30 curves using Lenstra ECM method on C142 input, B1=2K, B2=gmp-ecm default
02/13/15 06:43:07 v1.34.3, current ECM pretesting depth: 15.18
02/13/15 06:43:07 v1.34.3, scheduled 74 curves at B1=11000 toward target pretesting depth of 43.69
02/13/15 06:43:10 v1.34.3, Finished 74 curves using Lenstra ECM method on C142 input, B1=11K, B2=gmp-ecm default
02/13/15 06:43:10 v1.34.3, current ECM pretesting depth: 20.24
02/13/15 06:43:10 v1.34.3, scheduled 214 curves at B1=50000 toward target pretesting depth of 43.69
02/13/15 06:43:49 v1.34.3, Finished 214 curves using Lenstra ECM method on C142 input, B1=50K, B2=gmp-ecm default
02/13/15 06:43:49 v1.34.3, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C142
02/13/15 06:43:52 v1.34.3, current ECM pretesting depth: 25.33
02/13/15 06:43:52 v1.34.3, scheduled 430 curves at B1=250000 toward target pretesting depth of 43.69
02/13/15 06:49:36 v1.34.3, Finished 430 curves using Lenstra ECM method on C142 input, B1=250K, B2=gmp-ecm default
02/13/15 06:49:36 v1.34.3, pm1: starting B1 = 15M, B2 = gmp-ecm default on C142
02/13/15 06:49:47 v1.34.3, current ECM pretesting depth: 30.45
02/13/15 06:49:47 v1.34.3, scheduled 904 curves at B1=1000000 toward target pretesting depth of 43.69
02/13/15 07:38:06 v1.34.3, Finished 904 curves using Lenstra ECM method on C142 input, B1=1M, B2=gmp-ecm default
02/13/15 07:38:06 v1.34.3, current ECM pretesting depth: 35.56
02/13/15 07:38:06 v1.34.3, scheduled 2350 curves at B1=3000000 toward target pretesting depth of 43.69
02/13/15 13:32:09 v1.34.3, Finished 2350 curves using Lenstra ECM method on C142 input, B1=3M, B2=gmp-ecm default
02/13/15 13:32:09 v1.34.3, current ECM pretesting depth: 40.63
02/13/15 13:32:09 v1.34.3, scheduled 2747 curves at B1=11000000 toward target pretesting depth of 43.69
--
Fri Feb 13 04:25:56 2015  
Fri Feb 13 04:25:56 2015  commencing relation filtering
Fri Feb 13 04:25:56 2015  estimated available RAM is 15987.3 MB
Fri Feb 13 04:25:56 2015  commencing duplicate removal, pass 1
Fri Feb 13 04:27:02 2015  found 2852076 hash collisions in 21255452 relations
Fri Feb 13 04:27:21 2015  added 718434 free relations
Fri Feb 13 04:27:21 2015  commencing duplicate removal, pass 2
Fri Feb 13 04:27:40 2015  found 1846778 duplicates and 20127108 unique relations
Fri Feb 13 04:27:40 2015  memory use: 82.6 MB
Fri Feb 13 04:27:40 2015  reading ideals above 720000
Fri Feb 13 04:27:40 2015  commencing singleton removal, initial pass
Fri Feb 13 04:29:10 2015  memory use: 689.0 MB
Fri Feb 13 04:29:10 2015  reading all ideals from disk
Fri Feb 13 04:29:10 2015  memory use: 650.6 MB
Fri Feb 13 04:29:11 2015  keeping 21692503 ideals with weight <= 200, target excess is 116919
Fri Feb 13 04:29:12 2015  commencing in-memory singleton removal
Fri Feb 13 04:29:13 2015  begin with 20127108 relations and 21692503 unique ideals
Fri Feb 13 04:29:23 2015  reduce to 8978544 relations and 8384341 ideals in 17 passes
Fri Feb 13 04:29:23 2015  max relations containing the same ideal: 116
Fri Feb 13 04:29:26 2015  removing 1549066 relations and 1319778 ideals in 229288 cliques
Fri Feb 13 04:29:26 2015  commencing in-memory singleton removal
Fri Feb 13 04:29:27 2015  begin with 7429478 relations and 8384341 unique ideals
Fri Feb 13 04:29:30 2015  reduce to 7193330 relations and 6820407 ideals in 9 passes
Fri Feb 13 04:29:30 2015  max relations containing the same ideal: 100
Fri Feb 13 04:29:32 2015  removing 1200337 relations and 971049 ideals in 229288 cliques
Fri Feb 13 04:29:32 2015  commencing in-memory singleton removal
Fri Feb 13 04:29:33 2015  begin with 5992993 relations and 6820407 unique ideals
Fri Feb 13 04:29:37 2015  reduce to 5818508 relations and 5669405 ideals in 9 passes
Fri Feb 13 04:29:37 2015  max relations containing the same ideal: 87
Fri Feb 13 04:29:40 2015  removing 122053 relations and 108577 ideals in 13476 cliques
Fri Feb 13 04:29:40 2015  commencing in-memory singleton removal
Fri Feb 13 04:29:40 2015  begin with 5696455 relations and 5669405 unique ideals
Fri Feb 13 04:29:43 2015  reduce to 5694780 relations and 5559150 ideals in 7 passes
Fri Feb 13 04:29:43 2015  max relations containing the same ideal: 85
Fri Feb 13 04:29:44 2015  relations with 0 large ideals: 2885
Fri Feb 13 04:29:44 2015  relations with 1 large ideals: 652
Fri Feb 13 04:29:44 2015  relations with 2 large ideals: 12783
Fri Feb 13 04:29:44 2015  relations with 3 large ideals: 101325
Fri Feb 13 04:29:44 2015  relations with 4 large ideals: 435153
Fri Feb 13 04:29:44 2015  relations with 5 large ideals: 1073373
Fri Feb 13 04:29:44 2015  relations with 6 large ideals: 1640143
Fri Feb 13 04:29:44 2015  relations with 7+ large ideals: 2428466
Fri Feb 13 04:29:44 2015  commencing 2-way merge
Fri Feb 13 04:29:46 2015  reduce to 3370230 relation sets and 3234600 unique ideals
Fri Feb 13 04:29:46 2015  commencing full merge
Fri Feb 13 04:30:17 2015  memory use: 392.4 MB
Fri Feb 13 04:30:18 2015  found 1751048 cycles, need 1732800
Fri Feb 13 04:30:18 2015  weight of 1732800 cycles is about 121472920 (70.10/cycle)
Fri Feb 13 04:30:18 2015  distribution of cycle lengths:
Fri Feb 13 04:30:18 2015  1 relations: 223246
Fri Feb 13 04:30:18 2015  2 relations: 206966
Fri Feb 13 04:30:18 2015  3 relations: 208206
Fri Feb 13 04:30:18 2015  4 relations: 188595
Fri Feb 13 04:30:18 2015  5 relations: 167884
Fri Feb 13 04:30:18 2015  6 relations: 146572
Fri Feb 13 04:30:18 2015  7 relations: 124934
Fri Feb 13 04:30:18 2015  8 relations: 105334
Fri Feb 13 04:30:18 2015  9 relations: 86845
Fri Feb 13 04:30:18 2015  10+ relations: 274218
Fri Feb 13 04:30:18 2015  heaviest cycle: 22 relations
Fri Feb 13 04:30:18 2015  commencing cycle optimization
Fri Feb 13 04:30:20 2015  start with 9594039 relations
Fri Feb 13 04:30:27 2015  pruned 192951 relations
Fri Feb 13 04:30:27 2015  memory use: 328.9 MB
Fri Feb 13 04:30:27 2015  distribution of cycle lengths:
Fri Feb 13 04:30:27 2015  1 relations: 223246
Fri Feb 13 04:30:27 2015  2 relations: 211135
Fri Feb 13 04:30:27 2015  3 relations: 214491
Fri Feb 13 04:30:27 2015  4 relations: 192374
Fri Feb 13 04:30:27 2015  5 relations: 171056
Fri Feb 13 04:30:27 2015  6 relations: 148076
Fri Feb 13 04:30:27 2015  7 relations: 125352
Fri Feb 13 04:30:27 2015  8 relations: 104997
Fri Feb 13 04:30:27 2015  9 relations: 85903
Fri Feb 13 04:30:27 2015  10+ relations: 256170
Fri Feb 13 04:30:27 2015  heaviest cycle: 21 relations
Fri Feb 13 04:30:29 2015  RelProcTime: 273
Fri Feb 13 04:30:29 2015  
Fri Feb 13 04:30:29 2015  commencing linear algebra
Fri Feb 13 04:30:30 2015  read 1732800 cycles
Fri Feb 13 04:30:31 2015  cycles contain 5578865 unique relations
Fri Feb 13 04:31:02 2015  read 5578865 relations
Fri Feb 13 04:31:06 2015  using 20 quadratic characters above 268434402
Fri Feb 13 04:31:24 2015  building initial matrix
Fri Feb 13 04:31:58 2015  memory use: 696.3 MB
Fri Feb 13 04:31:59 2015  read 1732800 cycles
Fri Feb 13 04:31:59 2015  matrix is 1732802 x 1732800 (521.6 MB) with weight 153112842 (88.36/col)
Fri Feb 13 04:31:59 2015  sparse part has weight 117682062 (67.91/col)
Fri Feb 13 04:32:08 2015  filtering completed in 2 passes
Fri Feb 13 04:32:08 2015  matrix is 1730810 x 1730942 (521.5 MB) with weight 153056451 (88.42/col)
Fri Feb 13 04:32:08 2015  sparse part has weight 117662709 (67.98/col)
Fri Feb 13 04:32:13 2015  matrix starts at (0, 0)
Fri Feb 13 04:32:13 2015  matrix is 1730810 x 1730942 (521.5 MB) with weight 153056451 (88.42/col)
Fri Feb 13 04:32:13 2015  sparse part has weight 117662709 (67.98/col)
Fri Feb 13 04:32:13 2015  saving the first 48 matrix rows for later
Fri Feb 13 04:32:14 2015  matrix includes 64 packed rows
Fri Feb 13 04:32:14 2015  matrix is 1730762 x 1730942 (495.0 MB) with weight 122874448 (70.99/col)
Fri Feb 13 04:32:14 2015  sparse part has weight 112439931 (64.96/col)
Fri Feb 13 04:32:14 2015  using block size 65536 for processor cache size 8192 kB
Fri Feb 13 04:32:18 2015  commencing Lanczos iteration (8 threads)
Fri Feb 13 04:32:18 2015  memory use: 486.4 MB
Fri Feb 13 04:32:24 2015  linear algebra at 0.1%, ETA 1h53m
Fri Feb 13 04:32:27 2015  checkpointing every 820000 dimensions
Fri Feb 13 06:39:37 2015  lanczos halted after 27370 iterations (dim = 1730751)
Fri Feb 13 06:39:38 2015  recovered 37 nontrivial dependencies
Fri Feb 13 06:39:38 2015  BLanczosTime: 7749
Fri Feb 13 06:39:38 2015  
Fri Feb 13 06:39:38 2015  commencing square root phase
Fri Feb 13 06:39:38 2015  reading relations for dependency 1
Fri Feb 13 06:39:39 2015  read 866086 cycles
Fri Feb 13 06:39:39 2015  cycles contain 2792876 unique relations
Fri Feb 13 06:40:00 2015  read 2792876 relations
Fri Feb 13 06:40:08 2015  multiplying 2792876 relations
Fri Feb 13 06:41:26 2015  multiply complete, coefficients have about 91.26 million bits
Fri Feb 13 06:41:26 2015  initial square root is modulo 3553981
Fri Feb 13 06:43:06 2015  sqrtTime: 208
--
n: 7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777717
m: 10000000000000000000000000000000000000
deg: 5
c5: 700
c0: -547
skew: 0.95
# Murphy_E = 3.376e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c142

name 名前LegionMammal978
date 日付March 7, 2017 21:56:01 UTC 2017 年 3 月 8 日 (水) 6 時 56 分 1 秒 (日本時間)
composite number 合成数
1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251<142>
prime factors 素因数
183214261270059196643194296737201521485084394652767<51>
7235522567869789680552199928465405544400425803889869759714977941597899967106020171498876853<91>
factorization results 素因数分解の結果
Tue Mar  7 09:14:46 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Mar  7 09:14:46 2017  random seeds: 01dd0929 1faf523c
Tue Mar  7 09:14:46 2017  factoring 1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251 (142 digits)
Tue Mar  7 09:14:47 2017  no P-1/P+1/ECM available, skipping
Tue Mar  7 09:14:47 2017  commencing number field sieve (142-digit input)
Tue Mar  7 09:14:47 2017  R0: -10000000000000000000000000000000000000
Tue Mar  7 09:14:47 2017  R1: 1
Tue Mar  7 09:14:47 2017  A0: -547
Tue Mar  7 09:14:47 2017  A1: 0
Tue Mar  7 09:14:47 2017  A2: 0
Tue Mar  7 09:14:47 2017  A3: 0
Tue Mar  7 09:14:47 2017  A4: 0
Tue Mar  7 09:14:47 2017  A5: 700
Tue Mar  7 09:14:47 2017  skew 0.95, size 2.168e-13, alpha 0.199, combined = 3.376e-11 rroots = 1
Tue Mar  7 09:14:47 2017  
Tue Mar  7 09:14:47 2017  commencing relation filtering
Tue Mar  7 09:14:47 2017  estimated available RAM is 15929.4 MB
Tue Mar  7 09:14:47 2017  commencing duplicate removal, pass 1
Tue Mar  7 09:17:30 2017  found 3557084 hash collisions in 22577371 relations
Tue Mar  7 09:17:49 2017  added 307 free relations
Tue Mar  7 09:17:49 2017  commencing duplicate removal, pass 2
Tue Mar  7 09:17:55 2017  found 3290462 duplicates and 19287216 unique relations
Tue Mar  7 09:17:55 2017  memory use: 106.6 MB
Tue Mar  7 09:17:55 2017  reading ideals above 720000
Tue Mar  7 09:17:55 2017  commencing singleton removal, initial pass
Tue Mar  7 09:19:54 2017  memory use: 689.0 MB
Tue Mar  7 09:19:54 2017  reading all ideals from disk
Tue Mar  7 09:19:54 2017  memory use: 616.4 MB
Tue Mar  7 09:19:55 2017  keeping 21444331 ideals with weight <= 200, target excess is 116116
Tue Mar  7 09:19:56 2017  commencing in-memory singleton removal
Tue Mar  7 09:19:56 2017  begin with 19287216 relations and 21444331 unique ideals
Tue Mar  7 09:20:05 2017  reduce to 7865490 relations and 7695254 ideals in 20 passes
Tue Mar  7 09:20:05 2017  max relations containing the same ideal: 106
Tue Mar  7 09:20:07 2017  removing 287939 relations and 270168 ideals in 17771 cliques
Tue Mar  7 09:20:07 2017  commencing in-memory singleton removal
Tue Mar  7 09:20:07 2017  begin with 7577551 relations and 7695254 unique ideals
Tue Mar  7 09:20:11 2017  reduce to 7568344 relations and 7415833 ideals in 9 passes
Tue Mar  7 09:20:11 2017  max relations containing the same ideal: 105
Tue Mar  7 09:20:13 2017  removing 207457 relations and 189686 ideals in 17771 cliques
Tue Mar  7 09:20:13 2017  commencing in-memory singleton removal
Tue Mar  7 09:20:13 2017  begin with 7360887 relations and 7415833 unique ideals
Tue Mar  7 09:20:16 2017  reduce to 7355955 relations and 7221205 ideals in 8 passes
Tue Mar  7 09:20:16 2017  max relations containing the same ideal: 105
Tue Mar  7 09:20:17 2017  relations with 0 large ideals: 2885
Tue Mar  7 09:20:17 2017  relations with 1 large ideals: 863
Tue Mar  7 09:20:17 2017  relations with 2 large ideals: 16013
Tue Mar  7 09:20:17 2017  relations with 3 large ideals: 126919
Tue Mar  7 09:20:17 2017  relations with 4 large ideals: 549225
Tue Mar  7 09:20:17 2017  relations with 5 large ideals: 1381250
Tue Mar  7 09:20:17 2017  relations with 6 large ideals: 2157666
Tue Mar  7 09:20:17 2017  relations with 7+ large ideals: 3121134
Tue Mar  7 09:20:17 2017  commencing 2-way merge
Tue Mar  7 09:20:20 2017  reduce to 4297967 relation sets and 4163219 unique ideals
Tue Mar  7 09:20:20 2017  ignored 2 oversize relation sets
Tue Mar  7 09:20:20 2017  commencing full merge
Tue Mar  7 09:21:05 2017  memory use: 502.0 MB
Tue Mar  7 09:21:05 2017  found 2213038 cycles, need 2201419
Tue Mar  7 09:21:05 2017  weight of 2201419 cycles is about 154166284 (70.03/cycle)
Tue Mar  7 09:21:05 2017  distribution of cycle lengths:
Tue Mar  7 09:21:05 2017  1 relations: 336755
Tue Mar  7 09:21:05 2017  2 relations: 294588
Tue Mar  7 09:21:05 2017  3 relations: 270557
Tue Mar  7 09:21:05 2017  4 relations: 229983
Tue Mar  7 09:21:05 2017  5 relations: 195122
Tue Mar  7 09:21:05 2017  6 relations: 160548
Tue Mar  7 09:21:05 2017  7 relations: 133536
Tue Mar  7 09:21:05 2017  8 relations: 108865
Tue Mar  7 09:21:05 2017  9 relations: 88354
Tue Mar  7 09:21:05 2017  10+ relations: 383111
Tue Mar  7 09:21:05 2017  heaviest cycle: 28 relations
Tue Mar  7 09:21:06 2017  commencing cycle optimization
Tue Mar  7 09:21:08 2017  start with 12507262 relations
Tue Mar  7 09:21:19 2017  pruned 264554 relations
Tue Mar  7 09:21:19 2017  memory use: 422.4 MB
Tue Mar  7 09:21:19 2017  distribution of cycle lengths:
Tue Mar  7 09:21:19 2017  1 relations: 336755
Tue Mar  7 09:21:19 2017  2 relations: 300781
Tue Mar  7 09:21:19 2017  3 relations: 278900
Tue Mar  7 09:21:19 2017  4 relations: 234264
Tue Mar  7 09:21:19 2017  5 relations: 197972
Tue Mar  7 09:21:19 2017  6 relations: 161366
Tue Mar  7 09:21:19 2017  7 relations: 133154
Tue Mar  7 09:21:19 2017  8 relations: 107401
Tue Mar  7 09:21:19 2017  9 relations: 86673
Tue Mar  7 09:21:19 2017  10+ relations: 364153
Tue Mar  7 09:21:19 2017  heaviest cycle: 28 relations
Tue Mar  7 09:21:21 2017  RelProcTime: 394
Tue Mar  7 09:21:22 2017  elapsed time 00:06:36
Tue Mar 07 09:21:22 2017 LatSieveTime: 1122
Tue Mar 07 09:21:22 2017 -> Running matrix solving step ...
Tue Mar 07 09:21:22 2017 -> ./msieve -s 77717_187/77717_187.dat -l 77717_187/77717_187.log -i 77717_187/77717_187.ini -nf 77717_187/77717_187.fb -t 6 -nc2
Tue Mar  7 09:21:22 2017  
Tue Mar  7 09:21:22 2017  
Tue Mar  7 09:21:22 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Mar  7 09:21:22 2017  random seeds: e7b770aa f96db4ee
Tue Mar  7 09:21:22 2017  factoring 1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251 (142 digits)
Tue Mar  7 09:21:22 2017  no P-1/P+1/ECM available, skipping
Tue Mar  7 09:21:22 2017  commencing number field sieve (142-digit input)
Tue Mar  7 09:21:22 2017  R0: -10000000000000000000000000000000000000
Tue Mar  7 09:21:22 2017  R1: 1
Tue Mar  7 09:21:22 2017  A0: -547
Tue Mar  7 09:21:22 2017  A1: 0
Tue Mar  7 09:21:22 2017  A2: 0
Tue Mar  7 09:21:22 2017  A3: 0
Tue Mar  7 09:21:22 2017  A4: 0
Tue Mar  7 09:21:22 2017  A5: 700
Tue Mar  7 09:21:22 2017  skew 0.95, size 2.168e-13, alpha 0.199, combined = 3.376e-11 rroots = 1
Tue Mar  7 09:21:22 2017  
Tue Mar  7 09:21:22 2017  commencing linear algebra
Tue Mar  7 09:21:23 2017  read 2201419 cycles
Tue Mar  7 09:21:25 2017  cycles contain 7181541 unique relations
Tue Mar  7 09:21:59 2017  read 7181541 relations
Tue Mar  7 09:22:04 2017  using 20 quadratic characters above 4294917295
Tue Mar  7 09:22:31 2017  building initial matrix
Tue Mar  7 09:23:13 2017  memory use: 871.6 MB
Tue Mar  7 09:23:13 2017  read 2201419 cycles
Tue Mar  7 09:23:14 2017  matrix is 2201242 x 2201419 (660.6 MB) with weight 193583608 (87.94/col)
Tue Mar  7 09:23:14 2017  sparse part has weight 148958245 (67.66/col)
Tue Mar  7 09:23:26 2017  filtering completed in 2 passes
Tue Mar  7 09:23:26 2017  matrix is 2198542 x 2198719 (660.4 MB) with weight 193492575 (88.00/col)
Tue Mar  7 09:23:26 2017  sparse part has weight 148925974 (67.73/col)
Tue Mar  7 09:23:30 2017  matrix starts at (0, 0)
Tue Mar  7 09:23:31 2017  matrix is 2198542 x 2198719 (660.4 MB) with weight 193492575 (88.00/col)
Tue Mar  7 09:23:31 2017  sparse part has weight 148925974 (67.73/col)
Tue Mar  7 09:23:31 2017  saving the first 48 matrix rows for later
Tue Mar  7 09:23:31 2017  matrix includes 64 packed rows
Tue Mar  7 09:23:31 2017  matrix is 2198494 x 2198719 (626.9 MB) with weight 155463224 (70.71/col)
Tue Mar  7 09:23:31 2017  sparse part has weight 142361799 (64.75/col)
Tue Mar  7 09:23:31 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Tue Mar  7 09:23:36 2017  commencing Lanczos iteration (6 threads)
Tue Mar  7 09:23:36 2017  memory use: 503.4 MB
Tue Mar  7 09:23:41 2017  linear algebra at 0.1%, ETA 2h 1m
Tue Mar  7 09:23:43 2017  checkpointing every 1040000 dimensions
Tue Mar  7 11:23:08 2017  lanczos halted after 34770 iterations (dim = 2198494)
Tue Mar  7 11:23:10 2017  recovered 40 nontrivial dependencies
Tue Mar  7 11:23:10 2017  BLanczosTime: 7308
Tue Mar  7 11:23:10 2017  elapsed time 02:01:48
Tue Mar 07 11:23:10 2017 -> Running square root step ...
Tue Mar 07 11:23:10 2017 -> ./msieve -s 77717_187/77717_187.dat -l 77717_187/77717_187.log -i 77717_187/77717_187.ini -nf 77717_187/77717_187.fb -t 6 -nc3
Tue Mar  7 11:23:10 2017  
Tue Mar  7 11:23:10 2017  
Tue Mar  7 11:23:10 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Mar  7 11:23:10 2017  random seeds: 5c786bad d8f43308
Tue Mar  7 11:23:10 2017  factoring 1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251 (142 digits)
Tue Mar  7 11:23:10 2017  no P-1/P+1/ECM available, skipping
Tue Mar  7 11:23:10 2017  commencing number field sieve (142-digit input)
Tue Mar  7 11:23:10 2017  R0: -10000000000000000000000000000000000000
Tue Mar  7 11:23:10 2017  R1: 1
Tue Mar  7 11:23:10 2017  A0: -547
Tue Mar  7 11:23:10 2017  A1: 0
Tue Mar  7 11:23:10 2017  A2: 0
Tue Mar  7 11:23:10 2017  A3: 0
Tue Mar  7 11:23:10 2017  A4: 0
Tue Mar  7 11:23:10 2017  A5: 700
Tue Mar  7 11:23:10 2017  skew 0.95, size 2.168e-13, alpha 0.199, combined = 3.376e-11 rroots = 1
Tue Mar  7 11:23:10 2017  
Tue Mar  7 11:23:10 2017  commencing square root phase
Tue Mar  7 11:23:10 2017  reading relations for dependency 1
Tue Mar  7 11:23:11 2017  read 1098899 cycles
Tue Mar  7 11:23:12 2017  cycles contain 3589302 unique relations
Tue Mar  7 11:23:29 2017  read 3589302 relations
Tue Mar  7 11:23:39 2017  multiplying 3589302 relations
Tue Mar  7 11:25:25 2017  multiply complete, coefficients have about 114.94 million bits
Tue Mar  7 11:25:26 2017  initial square root is modulo 177961781
Tue Mar  7 11:27:39 2017  GCD is N, no factor found
Tue Mar  7 11:27:39 2017  reading relations for dependency 2
Tue Mar  7 11:27:39 2017  read 1100138 cycles
Tue Mar  7 11:27:40 2017  cycles contain 3592050 unique relations
Tue Mar  7 11:27:57 2017  read 3592050 relations
Tue Mar  7 11:28:08 2017  multiplying 3592050 relations
Tue Mar  7 11:29:53 2017  multiply complete, coefficients have about 115.03 million bits
Tue Mar  7 11:29:54 2017  initial square root is modulo 180564301
Tue Mar  7 11:32:06 2017  Newton iteration failed to converge
Tue Mar  7 11:32:06 2017  algebraic square root failed
Tue Mar  7 11:32:06 2017  reading relations for dependency 3
Tue Mar  7 11:32:06 2017  read 1098693 cycles
Tue Mar  7 11:32:07 2017  cycles contain 3589966 unique relations
Tue Mar  7 11:32:25 2017  read 3589966 relations
Tue Mar  7 11:32:35 2017  multiplying 3589966 relations
Tue Mar  7 11:34:21 2017  multiply complete, coefficients have about 114.97 million bits
Tue Mar  7 11:34:21 2017  initial square root is modulo 178686551
Tue Mar  7 11:36:34 2017  GCD is N, no factor found
Tue Mar  7 11:36:34 2017  reading relations for dependency 4
Tue Mar  7 11:36:35 2017  read 1099303 cycles
Tue Mar  7 11:36:36 2017  cycles contain 3586738 unique relations
Tue Mar  7 11:36:54 2017  read 3586738 relations
Tue Mar  7 11:37:04 2017  multiplying 3586738 relations
Tue Mar  7 11:38:50 2017  multiply complete, coefficients have about 114.86 million bits
Tue Mar  7 11:38:51 2017  initial square root is modulo 175543211
Tue Mar  7 11:41:04 2017  sqrtTime: 1074
Tue Mar  7 11:41:04 2017  p51 factor: 183214261270059196643194296737201521485084394652767
Tue Mar  7 11:41:04 2017  p91 factor: 7235522567869789680552199928465405544400425803889869759714977941597899967106020171498876853
Tue Mar  7 11:41:04 2017  elapsed time 00:17:54
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:04:24 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 24 秒 (日本時間)
1CypJanuary 9, 2015 01:04:53 UTC 2015 年 1 月 9 日 (金) 10 時 4 分 53 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:49 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 49 秒 (日本時間)
4511e60 / 436--
5043e61000 / 7462Serge BatalovJanuary 11, 2015 21:22:40 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 40 秒 (日本時間)

7×10188-5479

c182

name 名前Serge Batalov
date 日付January 9, 2015 03:50:29 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 29 秒 (日本時間)
composite number 合成数
32268826244033551650382203502615134826301287669071938876573721844469512712603737937855127076251190316328076787636503473531702715785905188748892891145309613164537869150186170383182631<182>
prime factors 素因数
54154845795413291551602615011<29>
595862212699100657312737248498504034462780545861307315182075159956707791233658527906112855264394522400290968369017926465662245512875646094200672807933421<153>
factorization results 素因数分解の結果
Input number is 32268826244033551650382203502615134826301287669071938876573721844469512712603737937855127076251190316328076787636503473531702715785905188748892891145309613164537869150186170383182631 (182 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3079041577
Step 1 took 15067ms
Step 2 took 11270ms
********** Factor found in step 2: 54154845795413291551602615011
Found probable prime factor of 29 digits: 54154845795413291551602615011
Probable prime cofactor 595862212699100657312737248498504034462780545861307315182075159956707791233658527906112855264394522400290968369017926465662245512875646094200672807933421 has 153 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:04:25 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 25 秒 (日本時間)

7×10190-5479

c128

name 名前Erik Branger
date 日付February 12, 2015 17:42:08 UTC 2015 年 2 月 13 日 (金) 2 時 42 分 8 秒 (日本時間)
composite number 合成数
16682279951101292845584573920242283330329596156540810787567775711975716868142175147433779248330801602487812499220783611548173703<128>
prime factors 素因数
262577544522800991491628709455104086160596134814549599162757<60>
63532774599667575886322559981627972492180874997574090855993028698779<68>
factorization results 素因数分解の結果
Number: 77717_190
N = 16682279951101292845584573920242283330329596156540810787567775711975716868142175147433779248330801602487812499220783611548173703 (128 digits)
Divisors found:
r1=262577544522800991491628709455104086160596134814549599162757 (pp60)
r2=63532774599667575886322559981627972492180874997574090855993028698779 (pp68)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 35.27 hours.
Factorization parameters were as follows:
# Murphy_E = 1.007e-10, selected by Maksym Voznyy
n: 16682279951101292845584573920242283330329596156540810787567775711975716868142175147433779248330801602487812499220783611548173703
Y0: -7514992881105160416544273
Y1: 9806330983177
c0: 152868642171532669909923164912160
c1: 68386966992113369196110232
c2: -2774512043400526323172
c3: 2399294808430825
c4: 4050112994
c5: 696
skew: 841890.87
type: gnfs
# selected mechanically
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17058583
Relations: 2207892 relations
Pruned matrix : 1265857 x 1266087
Polynomial selection time: 0.00 hours.
Total sieving time: 33.96 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.04 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,8200000,8200000,28,28,53,53,2.5,2.5,100000
total time: 35.27 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:04:25 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 25 秒 (日本時間)
1CypJanuary 9, 2015 00:29:16 UTC 2015 年 1 月 9 日 (金) 9 時 29 分 16 秒 (日本時間)
2350Ignacio SantosFebruary 2, 2015 23:33:33 UTC 2015 年 2 月 3 日 (火) 8 時 33 分 33 秒 (日本時間)

7×10192-5479

c138

name 名前Serge Batalov
date 日付January 9, 2015 03:50:33 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 33 秒 (日本時間)
composite number 合成数
260098293277867622464328874434272402808226359102307217723299696929234561465148476077454968797967673372201368127725637766105991392511116559<138>
prime factors 素因数
1200988015234847036548387631781709<34>
216570265463479031816760638175147120756210781989703538087805313027534760313907680898297633670583163336651<105>
factorization results 素因数分解の結果
Input number is 260098293277867622464328874434272402808226359102307217723299696929234561465148476077454968797967673372201368127725637766105991392511116559 (138 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2830819944
Step 1 took 9229ms
Step 2 took 7489ms
********** Factor found in step 2: 1200988015234847036548387631781709
Found probable prime factor of 34 digits: 1200988015234847036548387631781709
Probable prime cofactor 216570265463479031816760638175147120756210781989703538087805313027534760313907680898297633670583163336651 has 105 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:04:26 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 26 秒 (日本時間)

7×10193-5479

c190

name 名前Serge Batalov
date 日付September 27, 2015 19:45:53 UTC 2015 年 9 月 28 日 (月) 4 時 45 分 53 秒 (日本時間)
composite number 合成数
1698575623013273155225546577370119628254592220523646599208949066996675644852102593967630001698575623013273155225546577370119628254592220523646599208949066996675644852102593967630001698575623<190>
prime factors 素因数
1065648689111238422822739622377093755343730894625294657<55>
1593935825539185970801589445408853391101926239494924301168548849135071578958287314795283971183588434213959868503987550266764430726612039<136>
factorization results 素因数分解の結果
SNFS difficulty: 193 digits.
Divisors found:
 r1=1065648689111238422822739622377093755343730894625294657 (pp55)
 r2=1593935825539185970801589445408853391101926239494924301168548849135071578958287314795283971183588434213959868503987550266764430726612039 (pp136)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 6.66 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1698575623013273155225546577370119628254592220523646599208949066996675644852102593967630001698575623013273155225546577370119628254592220523646599208949066996675644852102593967630001698575623
Y0: -100000000000000000000000000000000000000
Y1: 1
c5: 7000
c0: -547
skew: 0.60
# Murphy_E = 1.572e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 6000000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2487305 x 2487533
Total sieving time: 123.80 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.50 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,193.000,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 126.66 hours.
software ソフトウェア
Msieve v. 1.52
execution environment 実行環境
Win7 x64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:04:26 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 26 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:52 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 52 秒 (日本時間)
4511e6401313KTakahashiJuly 25, 2015 08:45:11 UTC 2015 年 7 月 25 日 (土) 17 時 45 分 11 秒 (日本時間)
4000Serge BatalovSeptember 17, 2015 03:09:16 UTC 2015 年 9 月 17 日 (木) 12 時 9 分 16 秒 (日本時間)

7×10195-5479

c179

name 名前Cyp
date 日付June 15, 2015 18:24:34 UTC 2015 年 6 月 16 日 (火) 3 時 24 分 34 秒 (日本時間)
composite number 合成数
10553059400892706790847319830987844522863336540674937767234448624027041547607209036702983348298948930907490201343769071924541935491787650179958661564421313673625880587815318008281<179>
prime factors 素因数
40462168382082046030532624365920112397<38>
composite cofactor 合成数の残り
260812997001068832132864729236675145731614549629542528881807911217087293189925651550723765386204712845615702117912678723089960989037191518973<141>
factorization results 素因数分解の結果
Run 332 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=783932209
Step 1 took 59190ms
Step 2 took 18814ms
********** Factor found in step 2: 40462168382082046030532624365920112397
Found probable prime factor of 38 digits: 40462168382082046030532624365920112397
Composite cofactor 260812997001068832132864729236675145731614549629542528881807911217087293189925651550723765386204712845615702117912678723089960989037191518973 has 141 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:27 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 27 秒 (日本時間)
4511e6585 / 4409CypJune 15, 2015 18:24:33 UTC 2015 年 6 月 16 日 (火) 3 時 24 分 33 秒 (日本時間)

7×10196-5479

c145

name 名前Serge Batalov
date 日付January 9, 2015 03:50:37 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 37 秒 (日本時間)
composite number 合成数
2994781085539634647274214641174656404203162095308330836005342630919728831592931559712671988175571686648034231605968232342276102322245764796428023<145>
prime factors 素因数
142165848934254114455766177349<30>
21065404300610889380087260705740055745522655121478486586693253699120564106119714719911934326652120901883565666300427<116>
factorization results 素因数分解の結果
Input number is 2994781085539634647274214641174656404203162095308330836005342630919728831592931559712671988175571686648034231605968232342276102322245764796428023 (145 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4258856755
Step 1 took 9949ms
Step 2 took 623ms
********** Factor found in step 2: 142165848934254114455766177349
Found probable prime factor of 30 digits: 142165848934254114455766177349
Probable prime cofactor 21065404300610889380087260705740055745522655121478486586693253699120564106119714719911934326652120901883565666300427 has 116 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:04:27 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 27 秒 (日本時間)

7×10197-5479

c194

composite cofactor 合成数の残り
52874084145328196993730644308482513785029080746279930508346551854369665382581765994410453961779590603519903315960419971296925749678978774831935946823778230984213309162323438326157564770753078027<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:04:28 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 28 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:55 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 55 秒 (日本時間)

7×10199-5479

c177

composite cofactor 合成数の残り
762904540554129462923707725275104629133124499018722490938940487947471602800842489095041059694957915356617643861324386858850020959763483586575914521193624676462859588481415449391<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:29 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 29 秒 (日本時間)
1CypJanuary 9, 2015 01:01:31 UTC 2015 年 1 月 9 日 (金) 10 時 1 分 31 秒 (日本時間)
4511e6585 / 4409CypJuly 5, 2015 19:17:56 UTC 2015 年 7 月 6 日 (月) 4 時 17 分 56 秒 (日本時間)

7×10200-5479

c138

name 名前Erik Branger
date 日付April 19, 2015 19:17:31 UTC 2015 年 4 月 20 日 (月) 4 時 17 分 31 秒 (日本時間)
composite number 合成数
606231721690836996364335902530664584219566459976458562671467302376558700657245754088029587768708908242815971712125456744895034265447535743<138>
prime factors 素因数
14471388136294811736181334670443081935102543617537449<53>
41891746388197822426228865993853079266460272767746541505615458845556250317569869906407<86>
factorization results 素因数分解の結果
Number: 77717_200
N = 606231721690836996364335902530664584219566459976458562671467302376558700657245754088029587768708908242815971712125456744895034265447535743 (138 digits)
Divisors found:
r1=14471388136294811736181334670443081935102543617537449 (pp53)
r2=41891746388197822426228865993853079266460272767746541505615458845556250317569869906407 (pp86)
Version: Msieve v. 1.52 (SVN 958)
Total time: 155.01 hours.
Factorization parameters were as follows:
# Murphy_E = 2.549e-11, selected by Erik Branger
# expecting poly E from 2.80e-011 to > 3.22e-011
n: 606231721690836996364335902530664584219566459976458562671467302376558700657245754088029587768708908242815971712125456744895034265447535743
Y0: -849787834558577597661483643
Y1: 13565414732041
c0: 22908313198436034209689070949987216
c1: -134868891477033548253687904002
c2: 124635464220709405682885
c3: 17307727966263218
c4: 2494449858
c5: 1368
skew: 2600608.83
type: gnfs
# selected mechanically
rlim: 15900000
alim: 15900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23182666
Relations: 3926710 relations
Pruned matrix : 2396094 x 2396320
Polynomial selection time: 0.00 hours.
Total sieving time: 152.00 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.47 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15900000,15900000,28,28,55,55,2.6,2.6,100000
total time: 155.01 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:04:30 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 30 秒 (日本時間)
1CypJanuary 9, 2015 00:41:18 UTC 2015 年 1 月 9 日 (金) 9 時 41 分 18 秒 (日本時間)
2350Ignacio SantosFebruary 6, 2015 22:26:09 UTC 2015 年 2 月 7 日 (土) 7 時 26 分 9 秒 (日本時間)
4511e6264 / 3889Pierre JammesMarch 13, 2015 15:23:14 UTC 2015 年 3 月 14 日 (土) 0 時 23 分 14 秒 (日本時間)

7×10201-5479

c164

name 名前Serge Batalov
date 日付January 9, 2015 03:50:41 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 41 秒 (日本時間)
composite number 合成数
25318128485081498485191960507523175492604987580807575267180285935551547027395728296007034008098237609919603612123757169624746100698199383545903355834331691844299677<164>
prime factors 素因数
16118576649997887673898681589257<32>
1570742196091167665535232360752422369902483009838660995027282861816644423907579043385396706216245490509295012089306258236343400515061<133>
factorization results 素因数分解の結果
Input number is 25318128485081498485191960507523175492604987580807575267180285935551547027395728296007034008098237609919603612123757169624746100698199383545903355834331691844299677 (164 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3261803982
Step 1 took 11748ms
Step 2 took 9822ms
********** Factor found in step 2: 16118576649997887673898681589257
Found probable prime factor of 32 digits: 16118576649997887673898681589257
Probable prime cofactor 1570742196091167665535232360752422369902483009838660995027282861816644423907579043385396706216245490509295012089306258236343400515061 has 133 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:04:30 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 30 秒 (日本時間)

7×10202-5479

c197

composite cofactor 合成数の残り
40576252342553996847804853731305216309102934416603338729974894893014914091378879596927102444023610741577384419994354104316907486724319724637958388473561963125461192582429207482029067667856710181799<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:31 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 31 秒 (日本時間)
1CypJanuary 9, 2015 01:00:15 UTC 2015 年 1 月 9 日 (金) 10 時 0 分 15 秒 (日本時間)
4511e6756 / 4409356CypMay 13, 2015 18:40:32 UTC 2015 年 5 月 14 日 (木) 3 時 40 分 32 秒 (日本時間)
400Dmitry DomanovJanuary 16, 2017 12:13:21 UTC 2017 年 1 月 16 日 (月) 21 時 13 分 21 秒 (日本時間)

7×10204-5479

c186

name 名前Dmitry Domanov
date 日付January 17, 2017 06:51:10 UTC 2017 年 1 月 17 日 (火) 15 時 51 分 10 秒 (日本時間)
composite number 合成数
681125890303321391414858570875842153002166963882322498542661797824300548339821309986336517270395174073544454408732339003681891768370223796864197850099870403440984604418370247186589223039<186>
prime factors 素因数
355915448245161885154012010698699340237<39>
1913729492950100500409806303527694659822664782056941448703707246247382192166280127346075541260052748919307691268621679777774430144168088836599418747<148>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=270012473
Step 1 took 66460ms
Step 2 took 22149ms
********** Factor found in step 2: 355915448245161885154012010698699340237
Found probable prime factor of 39 digits: 355915448245161885154012010698699340237

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:32 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 32 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:04:46 UTC 2017 年 1 月 16 日 (月) 23 時 4 分 46 秒 (日本時間)

7×10205-5479

c201

name 名前Serge Batalov
date 日付January 9, 2015 03:50:45 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 45 秒 (日本時間)
composite number 合成数
457543254178350360478720970514605434306593198292710028694498369185115464308358007987397951513487721499957513840683438895098404481309358066814387774444248354478368008575667849742795327829741618788033283<201>
prime factors 素因数
1794495072673413915244327717986511<34>
composite cofactor 合成数の残り
254970471162514118746758744619998125824270662620661367421538883204753100074238285822097617393805033008404776060693542240351892658224144961898685620486215548914822586253<168>
factorization results 素因数分解の結果
Input number is 457543254178350360478720970514605434306593198292710028694498369185115464308358007987397951513487721499957513840683438895098404481309358066814387774444248354478368008575667849742795327829741618788033283 (201 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1885526643
Step 1 took 16367ms
Step 2 took 10825ms
********** Factor found in step 2: 1794495072673413915244327717986511
Found probable prime factor of 34 digits: 1794495072673413915244327717986511
Composite cofactor 254970471162514118746758744619998125824270662620661367421538883204753100074238285822097617393805033008404776060693542240351892658224144961898685620486215548914822586253 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:32 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 32 秒 (日本時間)
1CypJanuary 9, 2015 00:44:16 UTC 2015 年 1 月 9 日 (金) 9 時 44 分 16 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:05:41 UTC 2017 年 1 月 16 日 (月) 23 時 5 分 41 秒 (日本時間)

7×10206-5479

c183

composite cofactor 合成数の残り
485855721478296599596272082016391059032013379676565409288126055273092630785318427095101608148393343288788918471916436765955938578506704966996152324173188311715828478272598351684467023<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:33 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 33 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:05:58 UTC 2017 年 1 月 16 日 (月) 23 時 5 分 58 秒 (日本時間)

7×10207-5479

c186

composite cofactor 合成数の残り
114584337563362435126190862461562042059283071322140188342086094372862541483337839406808447732029422062718584340037294921611522665796384944866504193649666681553201027697918085469609277893<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:33 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 33 秒 (日本時間)
1CypJanuary 9, 2015 00:33:26 UTC 2015 年 1 月 9 日 (金) 9 時 33 分 26 秒 (日本時間)
4511e6585 / 4409CypJune 25, 2015 06:10:37 UTC 2015 年 6 月 25 日 (木) 15 時 10 分 37 秒 (日本時間)

7×10208-5479

c180

composite cofactor 合成数の残り
107080708974465587034959346433980013753241376270166212013492199521259501154440684620040920026666149297677333634916658616877996033660188970554789064441103338291767514085013239811177<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:34 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 34 秒 (日本時間)
4511e6585 / 4409CypJune 25, 2015 11:38:05 UTC 2015 年 6 月 25 日 (木) 20 時 38 分 5 秒 (日本時間)

7×10209-5479

c180

composite cofactor 合成数の残り
133460648208117921685717624222220491744041615878967419610179195562605682307120988927836556757518293241262592874920576875777072798809024684673974296954034429625312610787847551909993<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:35 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 35 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:06:14 UTC 2017 年 1 月 16 日 (月) 23 時 6 分 14 秒 (日本時間)

7×10210-5479

c171

name 名前Serge Batalov
date 日付January 9, 2015 03:50:49 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 49 秒 (日本時間)
composite number 合成数
322438528862723217184356098062711980082153786276647585967891667770411148831181860263871060457342114294651156458054626852916872740071085639119747869026772786455790723755641<171>
prime factors 素因数
38724813058546351409971946926417<32>
8326406337333184947248939102074332651257295145542734660917819526155303906873547036681354927348948063807070083733338078283770201620082581673<139>
factorization results 素因数分解の結果
Input number is 322438528862723217184356098062711980082153786276647585967891667770411148831181860263871060457342114294651156458054626852916872740071085639119747869026772786455790723755641 (171 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1792250240
Step 1 took 10915ms
Step 2 took 8738ms
********** Factor found in step 2: 38724813058546351409971946926417
Found probable prime factor of 32 digits: 38724813058546351409971946926417
Probable prime cofactor 8326406337333184947248939102074332651257295145542734660917819526155303906873547036681354927348948063807070083733338078283770201620082581673 has 139 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:04:35 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 35 秒 (日本時間)
1CypJanuary 9, 2015 00:59:47 UTC 2015 年 1 月 9 日 (金) 9 時 59 分 47 秒 (日本時間)

7×10215-5479

c205

composite cofactor 合成数の残り
5780111064970689178956309644089721700449965570267636164817802262879176151124060382448237255344138357909107292696367210154797286795523414730411126677857686514377468241549123258853736729839036436387321843329<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:36 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 36 秒 (日本時間)
4511e6585 / 4409CypJune 26, 2015 21:23:45 UTC 2015 年 6 月 27 日 (土) 6 時 23 分 45 秒 (日本時間)

7×10216-5479

c177

name 名前Dmitry Domanov
date 日付January 17, 2017 06:51:38 UTC 2017 年 1 月 17 日 (火) 15 時 51 分 38 秒 (日本時間)
composite number 合成数
257824882447490102565533734844386821100963328583243349594199771872211678472257279238813808494712852417241438164267030074795765193200493222244702501432013257439008457492766609247<177>
prime factors 素因数
36938772995404317243492378293010869702787211<44>
6979790110504401530078469049001398918367762877447588972504282287616519462681070297559081067880881139511271164484037908382729056654077<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=584518141
Step 1 took 73352ms
Step 2 took 23399ms
********** Factor found in step 2: 36938772995404317243492378293010869702787211
Found probable prime factor of 44 digits: 36938772995404317243492378293010869702787211
Probable prime cofactor 6979790110504401530078469049001398918367762877447588972504282287616519462681070297559081067880881139511271164484037908382729056654077 has 133 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:36 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 36 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:06:28 UTC 2017 年 1 月 16 日 (月) 23 時 6 分 28 秒 (日本時間)

7×10219-5479

c194

composite cofactor 合成数の残り
79500925989556077195425135103478905857571788290713626423731066301702243219532493114183091184833471846989985864739478011344329513803757533378047972365007070551287352968510913809037380709353391161<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:36 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 36 秒 (日本時間)
4511e6585 / 4409CypJune 25, 2015 21:25:30 UTC 2015 年 6 月 26 日 (金) 6 時 25 分 30 秒 (日本時間)

7×10221-5479

c156

name 名前Serge Batalov
date 日付January 9, 2015 03:50:53 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 53 秒 (日本時間)
composite number 合成数
379658272032877302329309617669104139118162165686459177313231159916387302694779499579308751309002195894316243147377474392746639527609578053954073314372688601<156>
prime factors 素因数
803849496904395346265560204136926981<36>
472300192380454271380295768406478329967195519877834785357662123048759068846300669079117761716393787466641169956672462021<120>
factorization results 素因数分解の結果
Input number is 379658272032877302329309617669104139118162165686459177313231159916387302694779499579308751309002195894316243147377474392746639527609578053954073314372688601 (156 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=663427903
Step 1 took 11844ms
Step 2 took 9777ms
********** Factor found in step 2: 803849496904395346265560204136926981
Found probable prime factor of 36 digits: 803849496904395346265560204136926981
Probable prime cofactor 472300192380454271380295768406478329967195519877834785357662123048759068846300669079117761716393787466641169956672462021 has 120 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:04:37 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 37 秒 (日本時間)

7×10222-5479

c154

name 名前Erik Branger
date 日付January 8, 2018 16:25:25 UTC 2018 年 1 月 9 日 (火) 1 時 25 分 25 秒 (日本時間)
composite number 合成数
8201689590338336225783869141518718659083948198032103367170975289411316502799129856034570878895715667808216237120289560804235259090192511455962100875960269<154>
prime factors 素因数
1777510701267309338848966003213845115914158307158216170339<58>
4614143579833746697710771828691053668623406559464907010908034723790947746269292985662505654105871<97>
factorization results 素因数分解の結果
Number: 77717_222
N = 8201689590338336225783869141518718659083948198032103367170975289411316502799129856034570878895715667808216237120289560804235259090192511455962100875960269 (154 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1777510701267309338848966003213845115914158307158216170339 (pp58)
r2=4614143579833746697710771828691053668623406559464907010908034723790947746269292985662505654105871 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 102.90 hours.
Factorization parameters were as follows:
n: 8201689590338336225783869141518718659083948198032103367170975289411316502799129856034570878895715667808216237120289560804235259090192511455962100875960269
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 700
c0: -547
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 28173724
Relations: 10318814 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 47.25 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 8865654 x 8865879
Matrix solve time: 54.41 hours.
time per square root: 0.96 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 102.90 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:04:38 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 38 秒 (日本時間)
1CypJanuary 9, 2015 00:59:34 UTC 2015 年 1 月 9 日 (金) 9 時 59 分 34 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:20 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 20 秒 (日本時間)
4511e64000400Serge BatalovJune 23, 2015 21:29:43 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 43 秒 (日本時間)
500Dmitry DomanovMarch 1, 2016 13:13:24 UTC 2016 年 3 月 1 日 (火) 22 時 13 分 24 秒 (日本時間)
3100Lionel DebrouxJanuary 5, 2018 15:50:26 UTC 2018 年 1 月 6 日 (土) 0 時 50 分 26 秒 (日本時間)
5043e6500 / 6564Lionel DebrouxJanuary 5, 2018 15:50:35 UTC 2018 年 1 月 6 日 (土) 0 時 50 分 35 秒 (日本時間)

7×10223-5479

c169

composite cofactor 合成数の残り
1104755138006993448258162679320348208951781679372972828264413363571165041522312807678910472330762552847094405354885375972442067215931738502217732408469450476628842711073<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:39 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 39 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:06:45 UTC 2017 年 1 月 16 日 (月) 23 時 6 分 45 秒 (日本時間)

7×10224-5479

c224

name 名前Alfred Reich
date 日付March 29, 2017 14:11:10 UTC 2017 年 3 月 29 日 (水) 23 時 11 分 10 秒 (日本時間)
composite number 合成数
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777717<224>
prime factors 素因数
785926964213153898383872701807689146274048658637773089792275553<63>
98963111484088748949891556305570765814374021615963480451674534749870856213226942600871920915010089568861567772077742860245165611741525680040267758664381007509589<161>
factorization results 素因数分解の結果
# siever: 15e
# qrange: 10M .. 46M
# params: rlim=alim: 39000000, lpbr=lpba: 31, mfbr=mfba: 62, rlambda=alambda: 2.7
Tue Mar 28 17:19:33 2017  
Tue Mar 28 17:19:33 2017  
Tue Mar 28 17:19:33 2017  Msieve v. 1.53 (SVN 988)
Tue Mar 28 17:19:33 2017  random seeds: 403e7864 b5b19b47
Tue Mar 28 17:19:33 2017  factoring 
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777717 (224 digits)
Tue Mar 28 17:19:37 2017  searching for 15-digit factors
Tue Mar 28 17:19:38 2017  commencing number field sieve (224-digit input)
Tue Mar 28 17:19:38 2017  R0: -10000000000000000000000000000000000000
Tue Mar 28 17:19:39 2017  R1: 1
Tue Mar 28 17:19:39 2017  A0: -547
Tue Mar 28 17:19:39 2017  A1: 0
Tue Mar 28 17:19:39 2017  A2: 0
Tue Mar 28 17:19:39 2017  A3: 0
Tue Mar 28 17:19:39 2017  A4: 0
Tue Mar 28 17:19:39 2017  A5: 0
Tue Mar 28 17:19:39 2017  A6: 700
Tue Mar 28 17:19:39 2017  skew 0.96, size 2.411e-011, alpha -0.894, combined = 1.223e-012 rroots = 2
Tue Mar 28 17:19:39 2017  
Tue Mar 28 17:19:39 2017  commencing relation filtering
Tue Mar 28 17:19:39 2017  setting max relations to 170000001
Tue Mar 28 17:19:39 2017  setting target matrix density to 100.0
Tue Mar 28 17:19:39 2017  estimated available RAM is 8172.2 MB
Tue Mar 28 17:19:39 2017  commencing duplicate removal, pass 1
Tue Mar 28 18:21:56 2017  found 6394982 hash collisions in 170000001 relations
Tue Mar 28 18:21:56 2017  commencing duplicate removal, pass 2
Tue Mar 28 19:05:06 2017  found 0 duplicates and 170000001 unique relations
Tue Mar 28 19:05:06 2017  memory use: 506.4 MB
Tue Mar 28 19:05:07 2017  reading ideals above 51314688
Tue Mar 28 19:05:07 2017  commencing singleton removal, initial pass
Tue Mar 28 20:15:51 2017  memory use: 3012.0 MB
Tue Mar 28 20:15:52 2017  reading all ideals from disk
Tue Mar 28 20:26:14 2017  memory use: 3109.2 MB
Tue Mar 28 20:26:32 2017  keeping 155130090 ideals with weight <= 200, target excess is 6248424
Tue Mar 28 20:26:58 2017  commencing in-memory singleton removal
Tue Mar 28 20:27:18 2017  begin with 170000001 relations and 155130090 unique ideals
Tue Mar 28 20:31:06 2017  reduce to 92576546 relations and 67408852 ideals in 16 passes
Tue Mar 28 20:31:07 2017  max relations containing the same ideal: 34
Tue Mar 28 20:31:29 2017  reading ideals above 720000
Tue Mar 28 20:31:29 2017  commencing singleton removal, initial pass
Tue Mar 28 21:22:35 2017  memory use: 1506.0 MB
Tue Mar 28 21:22:36 2017  reading all ideals from disk
Tue Mar 28 21:33:34 2017  memory use: 3470.0 MB
Tue Mar 28 21:33:55 2017  keeping 73040848 ideals with weight <= 200, target excess is 519360
Tue Mar 28 21:34:18 2017  commencing in-memory singleton removal
Tue Mar 28 21:34:38 2017  begin with 92576547 relations and 73040848 unique ideals
Tue Mar 28 21:36:09 2017  reduce to 92576382 relations and 73040646 ideals in 4 passes
Tue Mar 28 21:36:09 2017  max relations containing the same ideal: 200
Tue Mar 28 21:37:50 2017  removing 11047487 relations and 9047487 ideals in 2000000 cliques
Tue Mar 28 21:37:58 2017  commencing in-memory singleton removal
Tue Mar 28 21:38:18 2017  begin with 81528895 relations and 73040646 unique ideals
Tue Mar 28 21:41:47 2017  reduce to 80567361 relations and 63004865 ideals in 10 passes
Tue Mar 28 21:41:47 2017  max relations containing the same ideal: 190
Tue Mar 28 21:43:06 2017  removing 8273320 relations and 6273320 ideals in 2000000 cliques
Tue Mar 28 21:43:14 2017  commencing in-memory singleton removal
Tue Mar 28 21:43:26 2017  begin with 72294041 relations and 63004865 unique ideals
Tue Mar 28 21:46:10 2017  reduce to 71646019 relations and 56067421 ideals in 8 passes
Tue Mar 28 21:46:10 2017  max relations containing the same ideal: 181
Tue Mar 28 21:47:38 2017  removing 7454525 relations and 5454525 ideals in 2000000 cliques
Tue Mar 28 21:47:42 2017  commencing in-memory singleton removal
Tue Mar 28 21:47:55 2017  begin with 64191494 relations and 56067421 unique ideals
Tue Mar 28 21:51:07 2017  reduce to 63616306 relations and 50022550 ideals in 9 passes
Tue Mar 28 21:51:07 2017  max relations containing the same ideal: 170
Tue Mar 28 21:52:18 2017  removing 7038720 relations and 5038720 ideals in 2000000 cliques
Tue Mar 28 21:52:23 2017  commencing in-memory singleton removal
Tue Mar 28 21:52:31 2017  begin with 56577586 relations and 50022550 unique ideals
Tue Mar 28 21:54:13 2017  reduce to 56020776 relations and 44410973 ideals in 8 passes
Tue Mar 28 21:54:13 2017  max relations containing the same ideal: 158
Tue Mar 28 21:54:58 2017  removing 6771244 relations and 4771244 ideals in 2000000 cliques
Tue Mar 28 21:55:01 2017  commencing in-memory singleton removal
Tue Mar 28 21:55:10 2017  begin with 49249532 relations and 44410973 unique ideals
Tue Mar 28 21:56:34 2017  reduce to 48688189 relations and 39060597 ideals in 8 passes
Tue Mar 28 21:56:34 2017  max relations containing the same ideal: 138
Tue Mar 28 21:57:26 2017  removing 6597522 relations and 4597522 ideals in 2000000 cliques
Tue Mar 28 21:57:28 2017  commencing in-memory singleton removal
Tue Mar 28 21:57:34 2017  begin with 42090667 relations and 39060597 unique ideals
Tue Mar 28 21:58:50 2017  reduce to 41498046 relations and 33849307 ideals in 8 passes
Tue Mar 28 21:58:50 2017  max relations containing the same ideal: 123
Tue Mar 28 21:59:43 2017  removing 6477465 relations and 4477465 ideals in 2000000 cliques
Tue Mar 28 21:59:48 2017  commencing in-memory singleton removal
Tue Mar 28 21:59:57 2017  begin with 35020581 relations and 33849307 unique ideals
Tue Mar 28 22:00:55 2017  reduce to 34368717 relations and 28692603 ideals in 8 passes
Tue Mar 28 22:00:55 2017  max relations containing the same ideal: 107
Tue Mar 28 22:01:37 2017  removing 6404097 relations and 4404097 ideals in 2000000 cliques
Tue Mar 28 22:01:41 2017  commencing in-memory singleton removal
Tue Mar 28 22:01:49 2017  begin with 27964620 relations and 28692603 unique ideals
Tue Mar 28 22:02:52 2017  reduce to 27211858 relations and 23497654 ideals in 9 passes
Tue Mar 28 22:02:52 2017  max relations containing the same ideal: 92
Tue Mar 28 22:03:18 2017  removing 6362390 relations and 4362390 ideals in 2000000 cliques
Tue Mar 28 22:03:22 2017  commencing in-memory singleton removal
Tue Mar 28 22:03:27 2017  begin with 20849468 relations and 23497654 unique ideals
Tue Mar 28 22:04:24 2017  reduce to 19919567 relations and 18146252 ideals in 9 passes
Tue Mar 28 22:04:24 2017  max relations containing the same ideal: 73
Tue Mar 28 22:04:56 2017  removing 4152943 relations and 2982086 ideals in 1170857 cliques
Tue Mar 28 22:04:58 2017  commencing in-memory singleton removal
Tue Mar 28 22:05:01 2017  begin with 15766624 relations and 18146252 unique ideals
Tue Mar 28 22:05:32 2017  reduce to 15202574 relations and 14570558 ideals in 9 passes
Tue Mar 28 22:05:32 2017  max relations containing the same ideal: 60
Tue Mar 28 22:05:56 2017  removing 208776 relations and 179218 ideals in 29558 cliques
Tue Mar 28 22:05:57 2017  commencing in-memory singleton removal
Tue Mar 28 22:06:01 2017  begin with 14993798 relations and 14570558 unique ideals
Tue Mar 28 22:06:24 2017  reduce to 14992361 relations and 14389903 ideals in 5 passes
Tue Mar 28 22:06:24 2017  max relations containing the same ideal: 60
Tue Mar 28 22:06:31 2017  relations with 0 large ideals: 84
Tue Mar 28 22:06:31 2017  relations with 1 large ideals: 7823
Tue Mar 28 22:06:31 2017  relations with 2 large ideals: 120561
Tue Mar 28 22:06:31 2017  relations with 3 large ideals: 718844
Tue Mar 28 22:06:31 2017  relations with 4 large ideals: 2198477
Tue Mar 28 22:06:31 2017  relations with 5 large ideals: 3833908
Tue Mar 28 22:06:32 2017  relations with 6 large ideals: 4052308
Tue Mar 28 22:06:32 2017  relations with 7+ large ideals: 4060356
Tue Mar 28 22:06:32 2017  commencing 2-way merge
Tue Mar 28 22:07:14 2017  reduce to 8991371 relation sets and 8388912 unique ideals
Tue Mar 28 22:07:14 2017  commencing full merge
Wed Mar 29 00:04:41 2017  memory use: 1094.8 MB
Wed Mar 29 00:04:43 2017  found 4397652 cycles, need 4319112
Wed Mar 29 00:04:43 2017  weight of 4319112 cycles is about 431936859 (100.01/cycle)
Wed Mar 29 00:04:43 2017  distribution of cycle lengths:
Wed Mar 29 00:04:43 2017  1 relations: 285749
Wed Mar 29 00:04:43 2017  2 relations: 328524
Wed Mar 29 00:04:43 2017  3 relations: 369153
Wed Mar 29 00:04:43 2017  4 relations: 379359
Wed Mar 29 00:04:43 2017  5 relations: 387709
Wed Mar 29 00:04:43 2017  6 relations: 382503
Wed Mar 29 00:04:43 2017  7 relations: 364119
Wed Mar 29 00:04:43 2017  8 relations: 333808
Wed Mar 29 00:04:43 2017  9 relations: 295745
Wed Mar 29 00:04:43 2017  10+ relations: 1192443
Wed Mar 29 00:04:43 2017  heaviest cycle: 21 relations
Wed Mar 29 00:04:45 2017  commencing cycle optimization
Wed Mar 29 00:04:52 2017  start with 30973941 relations
Wed Mar 29 00:06:00 2017  pruned 1111552 relations
Wed Mar 29 00:06:00 2017  memory use: 930.4 MB
Wed Mar 29 00:06:00 2017  distribution of cycle lengths:
Wed Mar 29 00:06:00 2017  1 relations: 285749
Wed Mar 29 00:06:00 2017  2 relations: 336815
Wed Mar 29 00:06:00 2017  3 relations: 383481
Wed Mar 29 00:06:00 2017  4 relations: 393392
Wed Mar 29 00:06:00 2017  5 relations: 405586
Wed Mar 29 00:06:00 2017  6 relations: 398356
Wed Mar 29 00:06:00 2017  7 relations: 379769
Wed Mar 29 00:06:00 2017  8 relations: 344626
Wed Mar 29 00:06:00 2017  9 relations: 302246
Wed Mar 29 00:06:00 2017  10+ relations: 1089092
Wed Mar 29 00:06:00 2017  heaviest cycle: 21 relations
Wed Mar 29 00:06:11 2017  RelProcTime: 24392
Wed Mar 29 00:06:11 2017  
Wed Mar 29 00:06:11 2017  commencing linear algebra
Wed Mar 29 00:06:12 2017  read 4319112 cycles
Wed Mar 29 00:06:20 2017  cycles contain 14632949 unique relations
Wed Mar 29 00:18:15 2017  read 14632949 relations
Wed Mar 29 00:18:37 2017  using 20 quadratic characters above 4294917295
Wed Mar 29 00:19:37 2017  building initial matrix
Wed Mar 29 00:22:01 2017  memory use: 1873.5 MB
Wed Mar 29 00:24:29 2017  read 4319112 cycles
Wed Mar 29 00:24:30 2017  matrix is 4318844 x 4319112 (1734.2 MB) with weight 505551495 (117.05/col)
Wed Mar 29 00:24:30 2017  sparse part has weight 407090264 (94.25/col)
Wed Mar 29 00:25:11 2017  filtering completed in 2 passes
Wed Mar 29 00:25:12 2017  matrix is 4318321 x 4318521 (1734.0 MB) with weight 505509902 (117.06/col)
Wed Mar 29 00:25:12 2017  sparse part has weight 407062743 (94.26/col)
Wed Mar 29 00:26:27 2017  matrix starts at (0, 0)
Wed Mar 29 00:26:27 2017  matrix is 4318321 x 4318521 (1734.0 MB) with weight 505509902 (117.06/col)
Wed Mar 29 00:26:27 2017  sparse part has weight 407062743 (94.26/col)
Wed Mar 29 00:26:27 2017  saving the first 48 matrix rows for later
Wed Mar 29 00:26:29 2017  matrix includes 64 packed rows
Wed Mar 29 00:26:29 2017  matrix is 4318273 x 4318521 (1659.9 MB) with weight 425273613 (98.48/col)
Wed Mar 29 00:26:29 2017  sparse part has weight 391956057 (90.76/col)
Wed Mar 29 00:26:29 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Wed Mar 29 00:26:48 2017  commencing Lanczos iteration (8 threads)
Wed Mar 29 00:26:48 2017  memory use: 1381.0 MB
Wed Mar 29 00:27:04 2017  linear algebra at 0.0%, ETA 11h49m
Wed Mar 29 00:27:08 2017  checkpointing every 390000 dimensions
Wed Mar 29 11:50:50 2017  lanczos halted after 68287 iterations (dim = 4318265)
Wed Mar 29 11:50:56 2017  recovered 32 nontrivial dependencies
Wed Mar 29 11:50:59 2017  BLanczosTime: 42288
Wed Mar 29 11:50:59 2017  
Wed Mar 29 11:50:59 2017  commencing square root phase
Wed Mar 29 11:50:59 2017  handling dependencies 1 to 64
Wed Mar 29 11:50:59 2017  reading relations for dependency 1
Wed Mar 29 11:51:03 2017  read 2159923 cycles
Wed Mar 29 11:51:06 2017  cycles contain 7318052 unique relations
Wed Mar 29 12:02:52 2017  read 7318052 relations
Wed Mar 29 12:03:25 2017  multiplying 7318052 relations
Wed Mar 29 12:09:17 2017  multiply complete, coefficients have about 250.60 million bits
Wed Mar 29 12:09:19 2017  initial square root is modulo 984841903
Wed Mar 29 12:15:51 2017  GCD is N, no factor found
Wed Mar 29 12:15:52 2017  reading relations for dependency 2
Wed Mar 29 12:15:58 2017  read 2158290 cycles
Wed Mar 29 12:16:01 2017  cycles contain 7316020 unique relations
Wed Mar 29 12:27:45 2017  read 7316020 relations
Wed Mar 29 12:28:18 2017  multiplying 7316020 relations
Wed Mar 29 12:34:11 2017  multiply complete, coefficients have about 250.53 million bits
Wed Mar 29 12:34:12 2017  initial square root is modulo 979219609
Wed Mar 29 12:40:43 2017  GCD is 1, no factor found
Wed Mar 29 12:40:44 2017  reading relations for dependency 3
Wed Mar 29 12:40:50 2017  read 2158392 cycles
Wed Mar 29 12:40:53 2017  cycles contain 7316550 unique relations
Wed Mar 29 12:52:37 2017  read 7316550 relations
Wed Mar 29 12:53:10 2017  multiplying 7316550 relations
Wed Mar 29 12:59:02 2017  multiply complete, coefficients have about 250.55 million bits
Wed Mar 29 12:59:03 2017  initial square root is modulo 980396611
Wed Mar 29 13:05:35 2017  GCD is 1, no factor found
Wed Mar 29 13:05:36 2017  reading relations for dependency 4
Wed Mar 29 13:05:42 2017  read 2159650 cycles
Wed Mar 29 13:05:45 2017  cycles contain 7314486 unique relations
Wed Mar 29 13:17:30 2017  read 7314486 relations
Wed Mar 29 13:18:03 2017  multiplying 7314486 relations
Wed Mar 29 13:23:55 2017  multiply complete, coefficients have about 250.48 million bits
Wed Mar 29 13:23:56 2017  initial square root is modulo 974877559
Wed Mar 29 13:30:28 2017  sqrtTime: 5969
Wed Mar 29 13:30:29 2017  p63 factor: 785926964213153898383872701807689146274048658637773089792275553
Wed Mar 29 13:30:29 2017  p161 factor: 
98963111484088748949891556305570765814374021615963480451674534749870856213226942600871920915010089568861567772077742860245165611741525680040267758664381007509589
Wed Mar 29 13:30:29 2017  elapsed time 20:10:56

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:04:39 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 39 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:50 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 50 秒 (日本時間)
4511e6436KTakahashiMarch 10, 2015 13:47:12 UTC 2015 年 3 月 10 日 (火) 22 時 47 分 12 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:45 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 45 秒 (日本時間)

7×10226-5479

c225

composite cofactor 合成数の残り
457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928101<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:04:40 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 40 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:51 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 51 秒 (日本時間)

7×10227-5479

c205

name 名前Serge Batalov
date 日付January 9, 2015 03:50:57 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 57 秒 (日本時間)
composite number 合成数
3456464423915199201370473751918694771195392191720358549568476283496266385736548072752573852917615299940504654586141848689585766621323846012622714914482985231779090179255713009405384001132875739596662891689<205>
prime factors 素因数
2039287364044004461375759938574361<34>
composite cofactor 合成数の残り
1694937400612763466321796152864836451989907396919568060144979999573594901817159405015475263087937795686821795735338331909368040894689207270934545086722663191693056304268049<172>
factorization results 素因数分解の結果
Input number is 3456464423915199201370473751918694771195392191720358549568476283496266385736548072752573852917615299940504654586141848689585766621323846012622714914482985231779090179255713009405384001132875739596662891689 (205 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2745171935
Step 1 took 16166ms
Step 2 took 11062ms
********** Factor found in step 2: 2039287364044004461375759938574361
Found probable prime factor of 34 digits: 2039287364044004461375759938574361
Composite cofactor 1694937400612763466321796152864836451989907396919568060144979999573594901817159405015475263087937795686821795735338331909368040894689207270934545086722663191693056304268049 has 172 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:40 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 40 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:07:05 UTC 2017 年 1 月 16 日 (月) 23 時 7 分 5 秒 (日本時間)

7×10228-5479

c161

composite cofactor 合成数の残り
81087131871057857426306347625386805135172925276400526405531021940682931961659220484520077076367572553751502389352297607142826346451268982596236903957331551626631<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:41 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 41 秒 (日本時間)
4511e6585 / 4409CypJanuary 25, 2015 13:29:46 UTC 2015 年 1 月 25 日 (日) 22 時 29 分 46 秒 (日本時間)

7×10229-5479

c187

name 名前Serge Batalov
date 日付January 9, 2015 03:51:01 UTC 2015 年 1 月 9 日 (金) 12 時 51 分 1 秒 (日本時間)
composite number 合成数
6673761018639614639199087544609754373027942234112487699948420477198415966435894279801768393697471035532744329626774772653934729791052478921120448800699021926044926437102367159976191156021<187>
prime factors 素因数
15525899975132754872956201786251451<35>
429846967282329819316442763805354484591292568937315320989221584932019298406029637460712664849762697480567445827633650306283537579194106439985310460453071<153>
factorization results 素因数分解の結果
Input number is 6673761018639614639199087544609754373027942234112487699948420477198415966435894279801768393697471035532744329626774772653934729791052478921120448800699021926044926437102367159976191156021 (187 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1784906760
Step 1 took 15013ms
Step 2 took 11672ms
********** Factor found in step 2: 15525899975132754872956201786251451
Found probable prime factor of 35 digits: 15525899975132754872956201786251451
Probable prime cofactor 429846967282329819316442763805354484591292568937315320989221584932019298406029637460712664849762697480567445827633650306283537579194106439985310460453071 has 153 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:04:41 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 41 秒 (日本時間)
1CypJanuary 9, 2015 01:03:57 UTC 2015 年 1 月 9 日 (金) 10 時 3 分 57 秒 (日本時間)

7×10230-5479

c182

composite cofactor 合成数の残り
10148621205264092750276619866005728834779700124523223041039909790516452729524474690441241228168354983585741603115025814062104316355130214530497940194347671304369302701950313139339941<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:42 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 42 秒 (日本時間)
4511e6585 / 4409CypMay 23, 2015 21:40:54 UTC 2015 年 5 月 24 日 (日) 6 時 40 分 54 秒 (日本時間)

7×10231-5479

c213

name 名前Cyp
date 日付June 13, 2015 07:15:19 UTC 2015 年 6 月 13 日 (土) 16 時 15 分 19 秒 (日本時間)
composite number 合成数
100750811736396636761580855043495691192634999544847096571412921710810177632946767553012517431171607795394823893926755571179783140985456357295869811248420819005381836815942230833437318587075046470750151556592419853<213>
prime factors 素因数
292424957282361787910947078350022431091093690178051230709<57>
composite cofactor 合成数の残り
344535612393414647051425363713959929815215199374694881737640320852606976356927071764383290691407408171246406058729758742959403314893205294922829097306284217<156>
factorization results 素因数分解の結果
Run 194 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4321546
Step 1 took 80950ms
Step 2 took 23560ms
********** Factor found in step 2: 292424957282361787910947078350022431091093690178051230709
Found probable prime factor of 57 digits: 292424957282361787910947078350022431091093690178051230709
Composite cofactor 344535612393414647051425363713959929815215199374694881737640320852606976356927071764383290691407408171246406058729758742959403314893205294922829097306284217 has 156 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:42 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 42 秒 (日本時間)
4511e64785585CypJune 13, 2015 07:15:18 UTC 2015 年 6 月 13 日 (土) 16 時 15 分 18 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:10:30 UTC 2016 年 3 月 1 日 (火) 22 時 10 分 30 秒 (日本時間)
3400Lionel DebrouxDecember 29, 2017 15:05:27 UTC 2017 年 12 月 30 日 (土) 0 時 5 分 27 秒 (日本時間)

7×10234-5479

c213

name 名前Serge Batalov
date 日付January 8, 2015 23:35:49 UTC 2015 年 1 月 9 日 (金) 8 時 35 分 49 秒 (日本時間)
composite number 合成数
119302412042994007141151320214971817315089966809423896902272736743578916179899306779658607306685762436637697703283229335396299562522560064140904118030405812179863703326143937548364038089667928332890530367427558003<213>
prime factors 素因数
103980980272474489192688663856589<33>
1147348406702560757734980679102826920062823710790733408438342087922754477809433172363026833651634378530918572872740686965140876841604659796533414360122366026393389103313939042500927<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1227639722
Step 1 took 20394ms
Step 2 took 14229ms
********** Factor found in step 2: 103980980272474489192688663856589
Found probable prime factor of 33 digits: 103980980272474489192688663856589
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10235-5479

c189

composite cofactor 合成数の残り
143568290379016178593212758876164958910185411414028807400159066061662237698448140694669071673281549838188781757180717063378989121970585205594252780888788284980409267139889819431024358013471<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:43 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 43 秒 (日本時間)
4511e6585 / 4409CypJune 24, 2015 06:04:44 UTC 2015 年 6 月 24 日 (水) 15 時 4 分 44 秒 (日本時間)

7×10236-5479

c210

composite cofactor 合成数の残り
451213881438918495996597625660880156383389612390050351389523227741882399039881195416488567344420161913973052612267386163425194513291394391459677282627009540760045089090344865394537784307769705140306303336624139<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:44 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 44 秒 (日本時間)
4511e6585 / 4409CypMay 31, 2015 07:34:18 UTC 2015 年 5 月 31 日 (日) 16 時 34 分 18 秒 (日本時間)

7×10238-5479

c173

composite cofactor 合成数の残り
23384294495692567575675647186239208395973234683226303738775402974559396732425881954273613691202342139996845358270634038197152822273032825606784536881103571044407602154121743<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:45 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 45 秒 (日本時間)
1CypJanuary 9, 2015 01:21:33 UTC 2015 年 1 月 9 日 (金) 10 時 21 分 33 秒 (日本時間)
4511e6585 / 4409CypFebruary 5, 2015 06:39:03 UTC 2015 年 2 月 5 日 (木) 15 時 39 分 3 秒 (日本時間)

7×10239-5479

c178

composite cofactor 合成数の残り
2329258732572545014051938950526977222996550893609800032341906383910197233277841783547464905777345612661268861489909885592365269941420823585327201467779643082396259182844837768011<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:45 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 45 秒 (日本時間)
4511e6585 / 4409CypMay 22, 2015 14:08:22 UTC 2015 年 5 月 22 日 (金) 23 時 8 分 22 秒 (日本時間)

7×10241-5479

c239

composite cofactor 合成数の残り
32543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:04:46 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 46 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 21:35:10 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 10 秒 (日本時間)

7×10242-5479

c234

name 名前Cyp
date 日付May 25, 2015 11:05:48 UTC 2015 年 5 月 25 日 (月) 20 時 5 分 48 秒 (日本時間)
composite number 合成数
182778377354827933687590049863797848487050062272449553207669642556889739271033995514144962603205853204098335841753756274712173529856216441617382037356944021629099128793104914239483203266503613052904855874221744781078270387882044666643<234>
prime factors 素因数
101008244906459698937481958071946177583489<42>
1809539186866307537681587779810119925472805139265814784457830065821270638485318422149695803962456968410418884569846608244614451915562896239924345149680195241590305930474511416913519482484067987<193>
factorization results 素因数分解の結果
Run 438 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=313054357
Step 1 took 91525ms
Step 2 took 25452ms
********** Factor found in step 2: 101008244906459698937481958071946177583489
Found probable prime factor of 42 digits: 101008244906459698937481958071946177583489
Probable prime cofactor 1809539186866307537681587779810119925472805139265814784457830065821270638485318422149695803962456968410418884569846608244614451915562896239924345149680195241590305930474511416913519482484067987 has 193 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 807300Serge BatalovJanuary 9, 2015 00:04:46 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 46 秒 (日本時間)
1CypJanuary 9, 2015 00:13:24 UTC 2015 年 1 月 9 日 (金) 9 時 13 分 24 秒 (日本時間)
4511e6438 / 4409CypMay 25, 2015 11:05:48 UTC 2015 年 5 月 25 日 (月) 20 時 5 分 48 秒 (日本時間)

7×10243-5479

c213

composite cofactor 合成数の残り
169518108251049877093686656226619022904465851874120736346812521465274001568020130605728051297564437935567090538795211885680777387116667437865811419049470749340339139501785896520799653958368483202208184456680136251<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:47 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 47 秒 (日本時間)
1CypJanuary 9, 2015 00:34:36 UTC 2015 年 1 月 9 日 (金) 9 時 34 分 36 秒 (日本時間)
4511e6585 / 4409CypJune 19, 2015 06:05:20 UTC 2015 年 6 月 19 日 (金) 15 時 5 分 20 秒 (日本時間)

7×10244-5479

c221

name 名前Serge Batalov
date 日付January 9, 2015 03:51:04 UTC 2015 年 1 月 9 日 (金) 12 時 51 分 4 秒 (日本時間)
composite number 合成数
19983526511447313238752868016304689797835773110869423664370522974524650629771950005012185439802651934588549779099750829883779690577540079399411981203900702855737397747359017246911224154478871066969646566405653984013047927<221>
prime factors 素因数
3184456770489541236376547252146877<34>
composite cofactor 合成数の残り
6275332953687821293906289028354682719211628386711917048727343256523461225090479809846108021913192184937401951480289490067942834273576429883407262145623134114464762048883756313156962403651<187>
factorization results 素因数分解の結果
Input number is 19983526511447313238752868016304689797835773110869423664370522974524650629771950005012185439802651934588549779099750829883779690577540079399411981203900702855737397747359017246911224154478871066969646566405653984013047927 (221 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=134727625
Step 1 took 18129ms
Step 2 took 12159ms
********** Factor found in step 2: 3184456770489541236376547252146877
Found probable prime factor of 34 digits: 3184456770489541236376547252146877
Composite cofactor 6275332953687821293906289028354682719211628386711917048727343256523461225090479809846108021913192184937401951480289490067942834273576429883407262145623134114464762048883756313156962403651 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:48 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 48 秒 (日本時間)
4511e6585 / 4409CypJune 5, 2015 04:00:12 UTC 2015 年 6 月 5 日 (金) 13 時 0 分 12 秒 (日本時間)

7×10245-5479

c160

composite cofactor 合成数の残り
4375281937482355028362989606443885751007176080358999974525535198528060178827666814452602476863292752281755000662803537016634870340462142672719485600392872769833<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:04:48 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 48 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:23 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 23 秒 (日本時間)
4511e6800Dmitry DomanovFebruary 11, 2016 00:36:22 UTC 2016 年 2 月 11 日 (木) 9 時 36 分 22 秒 (日本時間)
5043e6600 / 6935Dmitry DomanovFebruary 22, 2016 23:34:32 UTC 2016 年 2 月 23 日 (火) 8 時 34 分 32 秒 (日本時間)
5511e7144 / 17486Dmitry DomanovFebruary 29, 2016 14:45:07 UTC 2016 年 2 月 29 日 (月) 23 時 45 分 7 秒 (日本時間)

7×10246-5479

c226

name 名前Cyp
date 日付February 9, 2015 15:52:41 UTC 2015 年 2 月 10 日 (火) 0 時 52 分 41 秒 (日本時間)
composite number 合成数
4057211907587688366838505039588546798597021049087016724120562157064571904582990932343683325834673078229466263653847740894184024447039448734949245450032626768329802928927888852587975800765084643071153064368343392791236724803439<226>
prime factors 素因数
3251974436493458656670280990185167400843<40>
1247614944957101739055062810802339750061853804152783396459224625824801003537134601157193790147496253771955683876866887352098135553493557599286637919683976806128050873109088053596084323373<187>
factorization results 素因数分解の結果
Run 411 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1447644576
Step 1 took 80475ms
Step 2 took 23735ms
********** Factor found in step 2: 3251974436493458656670280990185167400843
Found probable prime factor of 40 digits: 3251974436493458656670280990185167400843
Probable prime cofactor 1247614944957101739055062810802339750061853804152783396459224625824801003537134601157193790147496253771955683876866887352098135553493557599286637919683976806128050873109088053596084323373 has 187 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 900Serge BatalovJanuary 9, 2015 00:04:49 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 49 秒 (日本時間)
4511e6411 / 4409CypFebruary 9, 2015 15:52:40 UTC 2015 年 2 月 10 日 (火) 0 時 52 分 40 秒 (日本時間)

7×10247-5479

c220

name 名前Serge Batalov
date 日付January 9, 2015 03:51:08 UTC 2015 年 1 月 9 日 (金) 12 時 51 分 8 秒 (日本時間)
composite number 合成数
3936397609453797325389834942544759127833116415249603009848918689261925386860180300454203484731083020830939801169612826774442273832074281269139118190999872591181700812175759850318474721840849985391824753148498934772849973<220>
prime factors 素因数
4670339800931846212989531112275629<34>
composite cofactor 合成数の残り
842850365763191449996114595541746397041846415484517164586719238945944606478251037674339559498202356420994108627866587176383101541444609420850073421040439394254996365823401510746276647337<186>
factorization results 素因数分解の結果
Input number is 3936397609453797325389834942544759127833116415249603009848918689261925386860180300454203484731083020830939801169612826774442273832074281269139118190999872591181700812175759850318474721840849985391824753148498934772849973 (220 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2306086068
Step 1 took 20023ms
Step 2 took 13983ms
********** Factor found in step 2: 4670339800931846212989531112275629
Found probable prime factor of 34 digits: 4670339800931846212989531112275629
Composite cofactor 842850365763191449996114595541746397041846415484517164586719238945944606478251037674339559498202356420994108627866587176383101541444609420850073421040439394254996365823401510746276647337 has 186 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:50 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 50 秒 (日本時間)
4511e6585 / 4409CypFebruary 1, 2015 03:02:15 UTC 2015 年 2 月 1 日 (日) 12 時 2 分 15 秒 (日本時間)

7×10248-5479

c244

name 名前Serge Batalov
date 日付January 9, 2015 03:51:12 UTC 2015 年 1 月 9 日 (金) 12 時 51 分 12 秒 (日本時間)
composite number 合成数
6140189293264212345289159057217792514232081611887406471759515100479811934773646307553310000614018929326421234528915905721779251423208161188740647175951510047981193477364630755331000061401892932642123452891590572177925142320816118874064717595151<244>
prime factors 素因数
251420564393113983933389800926789887<36>
24421985162930381710254459861623349896668374328932058148580188996800101656253178227590071572126347833468043524232618136316315826737795508988752676059926822316775459568415734340321748702715812172155064679788273<209>
factorization results 素因数分解の結果
Input number is 6140189293264212345289159057217792514232081611887406471759515100479811934773646307553310000614018929326421234528915905721779251423208161188740647175951510047981193477364630755331000061401892932642123452891590572177925142320816118874064717595151 (244 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1042966966
Step 1 took 20875ms
Step 2 took 13404ms
********** Factor found in step 2: 251420564393113983933389800926789887
Found probable prime factor of 36 digits: 251420564393113983933389800926789887
Probable prime cofactor 24421985162930381710254459861623349896668374328932058148580188996800101656253178227590071572126347833468043524232618136316315826737795508988752676059926822316775459568415734340321748702715812172155064679788273 has 209 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:04:50 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 50 秒 (日本時間)

7×10249-5479

c246

name 名前Serge Batalov
date 日付January 9, 2015 18:50:15 UTC 2015 年 1 月 10 日 (土) 3 時 50 分 15 秒 (日本時間)
composite number 合成数
971008461645165765015952281869884866139547787487862394229435427937300596476626439173255652656401720072132057150783742544042169510334304341794978499098349285615203218199472881120821195727562768761270633929809959772506588985989735053405465390484117<246>
prime factors 素因数
132784848228388594895630197475094304211<39>
composite cofactor 合成数の残り
7312645038950837520252834458914214302914839009828087017580486328573842264045939587557959970597857224286622362274022633846293449038264138619419523302595845577784580983756177158050095450836530368478407525504247<208>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1082641454
Step 1 took 22857ms
********** Factor found in step 1: 132784848228388594895630197475094304211
Found probable prime factor of 39 digits: 132784848228388594895630197475094304211
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:04:51 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 51 秒 (日本時間)
1CypJanuary 9, 2015 00:19:16 UTC 2015 年 1 月 9 日 (金) 9 時 19 分 16 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 18:41:20 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 20 秒 (日本時間)

7×10250-5479

c222

composite cofactor 合成数の残り
140089743581368732601431681530508972741166826516217493416464227625724847431726114193541614153152544996132689217205532548420240426217011963744465578286194422270086117601736938275163829536648612764675424312529509861803772417<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:51 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 51 秒 (日本時間)
4511e6600 / 2655Dmitry DomanovApril 21, 2015 11:01:57 UTC 2015 年 4 月 21 日 (火) 20 時 1 分 57 秒 (日本時間)
5043e6500 / 7407Dmitry DomanovJune 20, 2015 09:44:59 UTC 2015 年 6 月 20 日 (土) 18 時 44 分 59 秒 (日本時間)